Pith Number

pith:7MFTWUVP

pith:2010:7MFTWUVPZNUF7HWACFOLLOKLTW

not attested not anchored not stored refs pending

A monoidal structure on the category of relative Hopf modules

D. Bulacu, S. Caenepeel

arxiv:1011.4802 v1 · 2010-11-22 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MFTWUVPZNUF7HWACFOLLOKLTW}

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	2026-05-18T04:35:03.960492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb0b3b52afcb685f9ec0115cb5b94b9d8a97e7e30ad56735db77fa32083bffbb

Aliases

arxiv: 1011.4802 · arxiv_version: 1011.4802v1 · doi: 10.48550/arxiv.1011.4802 · pith_short_12: 7MFTWUVPZNUF · pith_short_16: 7MFTWUVPZNUF7HWA · pith_short_8: 7MFTWUVP

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/7MFTWUVPZNUF7HWACFOLLOKLTW \
  | 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: fb0b3b52afcb685f9ec0115cb5b94b9d8a97e7e30ad56735db77fa32083bffbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dba09afd297e89f19d53c4fa906206e14a7f4f7cd9342bec8767640bf8bb12c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-11-22T13:20:39Z",
    "title_canon_sha256": "cfe77b9aa9941c62de5811d508eeed5a0a6cb338a1165c1ddbf3b6ad81a06208"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4802",
    "kind": "arxiv",
    "version": 1
  }
}