Pith Number

pith:673BWME2

pith:2013:673BWME2PKYEFN2SH4BFK6YN6Z

not attested not anchored not stored refs pending

Braided autoequivalences and quantum commutative bi-Galois objects

Haixing Zhu, Yinhuo Zhang

arxiv:1312.3800 v1 · 2013-12-13 · 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{673BWME2PKYEFN2SH4BFK6YN6Z}

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	2026-05-18T03:04:47.563053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f61b309a7ab042b7523f02557b0df64c09483cfe5da904be9a05aec26fd68b

Aliases

arxiv: 1312.3800 · arxiv_version: 1312.3800v1 · doi: 10.48550/arxiv.1312.3800 · pith_short_12: 673BWME2PKYE · pith_short_16: 673BWME2PKYEFN2S · pith_short_8: 673BWME2

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/673BWME2PKYEFN2SH4BFK6YN6Z \
  | 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: f7f61b309a7ab042b7523f02557b0df64c09483cfe5da904be9a05aec26fd68b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0785e534a908ffc95b7c1e4f6a4f5b4c275a9432902690ee9f93939c1fa77462",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-12-13T13:05:29Z",
    "title_canon_sha256": "125691a1c02132e9d2565793ece4789997ee6e95df58adc9207a07ffe80d28cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3800",
    "kind": "arxiv",
    "version": 1
  }
}