Pith Number

pith:7JB3QN3H

pith:2013:7JB3QN3HSDO3KRNKTTVNS4QLWB

not attested not anchored not stored refs pending

On Braided Linear Gr-categories

Gongxiang Liu, Hua-Lin Huang, Yu Ye

arxiv:1310.1529 v2 · 2013-10-06 · math.CT · 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{7JB3QN3HSDO3KRNKTTVNS4QLWB}

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	2026-05-18T02:51:48.536141Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa43b8376790ddb545aa9cead9720bb040ce4bc74e3f38794e5154d1f47f38ec

Aliases

arxiv: 1310.1529 · arxiv_version: 1310.1529v2 · doi: 10.48550/arxiv.1310.1529 · pith_short_12: 7JB3QN3HSDO3 · pith_short_16: 7JB3QN3HSDO3KRNK · pith_short_8: 7JB3QN3H

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/7JB3QN3HSDO3KRNKTTVNS4QLWB \
  | 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: fa43b8376790ddb545aa9cead9720bb040ce4bc74e3f38794e5154d1f47f38ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a971be5c5e35fad60e26891eb06d096a051c5b85c0c3c6bdf9acf103853e3e00",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2013-10-06T02:39:21Z",
    "title_canon_sha256": "ece7318c84d1bf49708a12046892d296fcd9c65c3d05b5afc1f39fb74cddc6dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1529",
    "kind": "arxiv",
    "version": 2
  }
}