Pith Number

pith:6L5JVUUB

pith:2013:6L5JVUUBS4VPCDPP6MNNAWLCC5

not attested not anchored not stored refs pending

Generalized Hopf-Ore extensions

Huixiang Chen, Lan You, Zhen Wang

arxiv:1312.0178 v2 · 2013-12-01 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6L5JVUUBS4VPCDPP6MNNAWLCC5}

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	2026-05-18T00:27:03.284120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2fa9ad281972af10deff31ad0596217779a453929fa312f9624e3d231c76e76

Aliases

arxiv: 1312.0178 · arxiv_version: 1312.0178v2 · doi: 10.48550/arxiv.1312.0178 · pith_short_12: 6L5JVUUBS4VP · pith_short_16: 6L5JVUUBS4VPCDPP · pith_short_8: 6L5JVUUB

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/6L5JVUUBS4VPCDPP6MNNAWLCC5 \
  | 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: f2fa9ad281972af10deff31ad0596217779a453929fa312f9624e3d231c76e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ded5e561e927cda68a9ca61e5afe9a4faf79ae3977a7600474c07574842eb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-12-01T05:30:25Z",
    "title_canon_sha256": "732b6227dbb51c4b85f1bdc1bef84f1b068abf4ab98501e76a33890659ed976f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0178",
    "kind": "arxiv",
    "version": 2
  }
}