Pith Number

pith:3C6DCG5U

pith:2012:3C6DCG5UIH6V2C3SLYB5GTO6WI

not attested not anchored not stored refs pending

The braided monoidal structures on a class of linear Gr-categories

Gongxiang Liu, Hua-Lin Huang, Yu Ye

arxiv:1206.5402 v3 · 2012-06-23 · 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{3C6DCG5UIH6V2C3SLYB5GTO6WI}

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	2026-05-18T02:51:48.745375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8bc311bb441fd5d0b725e03d34ddeb20edbab07e3c945df9ad7215b43c868e2

Aliases

arxiv: 1206.5402 · arxiv_version: 1206.5402v3 · doi: 10.48550/arxiv.1206.5402 · pith_short_12: 3C6DCG5UIH6V · pith_short_16: 3C6DCG5UIH6V2C3S · pith_short_8: 3C6DCG5U

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/3C6DCG5UIH6V2C3SLYB5GTO6WI \
  | 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: d8bc311bb441fd5d0b725e03d34ddeb20edbab07e3c945df9ad7215b43c868e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b13a61c1ac83e2f046f0cd58e92fd8496b2c54e57ce815b79a3272d44f49654",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-06-23T15:42:21Z",
    "title_canon_sha256": "5f8b6cdea7da99fd80815baa6a00fcb1a947a16cc4337aa1fdc6225dd713d6a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5402",
    "kind": "arxiv",
    "version": 3
  }
}