Pith Number

pith:VMSJB3JI

pith:2014:VMSJB3JIIV2HSCIT2RPBT3WA24

not attested not anchored not stored refs pending

Antiassociative Groupoids

David Hobby, Donald Silberger, Milton Braitt

arxiv:1410.7501 v1 · 2014-10-28 · 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{VMSJB3JIIV2HSCIT2RPBT3WA24}

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	2026-05-18T02:39:17.002821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab2490ed284574790913d45e19eec0d72df48e85c2ea76c18012038f7b600a94

Aliases

arxiv: 1410.7501 · arxiv_version: 1410.7501v1 · doi: 10.48550/arxiv.1410.7501 · pith_short_12: VMSJB3JIIV2H · pith_short_16: VMSJB3JIIV2HSCIT · pith_short_8: VMSJB3JI

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/VMSJB3JIIV2HSCIT2RPBT3WA24 \
  | 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: ab2490ed284574790913d45e19eec0d72df48e85c2ea76c18012038f7b600a94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1ad10e7c8c986067d528222897db608465567fb7df9ad70ebf735f3cb40f5c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-10-28T02:55:51Z",
    "title_canon_sha256": "0d8079ba41ec766ef6e1536dedffa5ebc026ed7b72e6d20e9be6551a26ac733a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.7501",
    "kind": "arxiv",
    "version": 1
  }
}