Pith Number

pith:FBCEI4FG

pith:2003:FBCEI4FGFWVU25QYANZIOWPKCM

not attested not anchored not stored refs pending

The Uniqueness Of Integrals On Hopf Algebras, A categorical approach

Nguyen Huy Hung, Phung Ho Hai

arxiv:math/0305117 v1 · 2003-05-08 · 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{FBCEI4FGFWVU25QYANZIOWPKCM}

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	2026-05-18T01:05:28.902894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28444470a62dab4d761803728759ea13340f1088ecb8662efdf5d685cbfe4e05

Aliases

arxiv: math/0305117 · arxiv_version: math/0305117v1 · doi: 10.48550/arxiv.math/0305117 · pith_short_12: FBCEI4FGFWVU · pith_short_16: FBCEI4FGFWVU25QY · pith_short_8: FBCEI4FG

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/FBCEI4FGFWVU25QYANZIOWPKCM \
  | 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: 28444470a62dab4d761803728759ea13340f1088ecb8662efdf5d685cbfe4e05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e1e03e70db4af7725bb420072a74f7594c668c1af0a2bf538537a848902f87",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-05-08T09:14:21Z",
    "title_canon_sha256": "2449db7a4484497d1e9a9b55f4a5757a819e16578fe6ef587e969bdb811123a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305117",
    "kind": "arxiv",
    "version": 1
  }
}