Pith Number

pith:MFLS4PQI

pith:2019:MFLS4PQIH55SZ2KORCFTQ5LDG4

not attested not anchored not stored refs pending

Invertible phases of matter with spatial symmetry

Daniel S. Freed, Michael J. Hopkins

arxiv:1901.06419 v1 · 2019-01-16 · math-ph · cond-mat.str-el · hep-th · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFLS4PQIH55SZ2KORCFTQ5LDG4}

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

2 papers in Pith

Atiyah-Hirzebruch spectral sequence for topological insulators and superconductors: $E_2$ pages for 1651 magnetic space groups

Anomalies in family unification models from bordism classification

Receipt and verification

First computed	2026-05-17T23:55:50.385096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61572e3e083f7b2ce94e888b3875633730de507de54198cdd1d65ab257f77786

Aliases

arxiv: 1901.06419 · arxiv_version: 1901.06419v1 · doi: 10.48550/arxiv.1901.06419 · pith_short_12: MFLS4PQIH55S · pith_short_16: MFLS4PQIH55SZ2KO · pith_short_8: MFLS4PQI

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/MFLS4PQIH55SZ2KORCFTQ5LDG4 \
  | 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: 61572e3e083f7b2ce94e888b3875633730de507de54198cdd1d65ab257f77786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75b5e64d4adcd50ae95694d5caee2f12b42ca466e50de7cd79d0a4a8999ef5a0",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-01-16T22:06:43Z",
    "title_canon_sha256": "01c8dfa798decfc45bd3bd52f89583ea9781dd10ce91c9f6cf6d661b65ca3ad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.06419",
    "kind": "arxiv",
    "version": 1
  }
}