Pith Number

pith:2LGPNEMA

pith:2025:2LGPNEMAMD5HJS2CSVELI6IEUR

not attested not anchored not stored refs pending

The Classification of 3+1d Symmetry Enriched Topological Order

Matthew Yu, Thibault D. D\'ecoppet

arxiv:2509.10603 v3 · 2025-09-12 · math-ph · cond-mat.str-el · hep-th · math.CT · math.MP · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2LGPNEMAMD5HJS2CSVELI6IEUR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Sixteen-Fold Way for Fermionic Topological Orders

Fermion Families and Pontryagin Class: Topological Field Theory via Colour Symmetry Extension

The Classification of Pauli Stabilizer Codes: A Lattice and Continuum Treatise

Receipt and verification

First computed	2026-07-13T01:17:46.278358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ccf6918060fa74cb429548b47904a44f410a2d725432134ca6ebab100d77fe

Aliases

arxiv: 2509.10603 · arxiv_version: 2509.10603v3 · doi: 10.48550/arxiv.2509.10603 · pith_short_12: 2LGPNEMAMD5H · pith_short_16: 2LGPNEMAMD5HJS2C · pith_short_8: 2LGPNEMA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2LGPNEMAMD5HJS2CSVELI6IEUR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: d2ccf6918060fa74cb429548b47904a44f410a2d725432134ca6ebab100d77fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b0a138ca2c79bf33c44f0524b40939cc8538d42177bd3d1c063947b4d46e58",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math.CT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-09-12T18:00:01Z",
    "title_canon_sha256": "a3221a3e33cce96b6886f9dd8423b5fcc6dd9d43d77a306ec4b4a8d30f15efc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.10603",
    "kind": "arxiv",
    "version": 3
  }
}