Pith Number

pith:AQERX4LC

pith:2015:AQERX4LC6VE4EB5S4UXSJ2PTUN

not attested not anchored not stored refs pending

On Gauging Symmetry of Modular Categories

C\'esar Galindo, Julia Yael Plavnik, Shawn X. Cui, Zhenghan Wang

arxiv:1510.03475 v3 · 2015-10-12 · 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{AQERX4LC6VE4EB5S4UXSJ2PTUN}

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.

Receipt and verification

First computed	2026-05-18T00:45:58.904848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04091bf162f549c207b2e52f24e9f3a34c98a8d57c36ed91d06e32641bf6e086

Aliases

arxiv: 1510.03475 · arxiv_version: 1510.03475v3 · doi: 10.48550/arxiv.1510.03475 · pith_short_12: AQERX4LC6VE4 · pith_short_16: AQERX4LC6VE4EB5S · pith_short_8: AQERX4LC

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/AQERX4LC6VE4EB5S4UXSJ2PTUN \
  | 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: 04091bf162f549c207b2e52f24e9f3a34c98a8d57c36ed91d06e32641bf6e086

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "911750da02f3d148f681805965a64945aa18e0f910f0f5e6df5febf9a835d9cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-10-12T22:20:07Z",
    "title_canon_sha256": "a1d8ee6fe9c90e32bdb8e4d461a0076221fb17abb206fcedbe8492a3d1a6c918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03475",
    "kind": "arxiv",
    "version": 3
  }
}