Pith Number

pith:E236VT3P

pith:2015:E236VT3PP32MMNOMWIHRS5IUIL

not attested not anchored not stored refs pending

The monoid algebra of all relations on a finite set

Jacques Th\'evenaz (EPFL), Serge Bouc (LAMFA)

arxiv:1511.01741 v2 · 2015-11-05 · math.RA · math.CO · math.GR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E236VT3PP32MMNOMWIHRS5IUIL}

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	2026-05-17T23:54:28.422051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b7eacf6f7ef4c635ccb20f19751442d1cb389c92d59652a0dd0533a2d8dd0c

Aliases

arxiv: 1511.01741 · arxiv_version: 1511.01741v2 · doi: 10.48550/arxiv.1511.01741 · pith_short_12: E236VT3PP32M · pith_short_16: E236VT3PP32MMNOM · pith_short_8: E236VT3P

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/E236VT3PP32MMNOMWIHRS5IUIL \
  | 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: 26b7eacf6f7ef4c635ccb20f19751442d1cb389c92d59652a0dd0533a2d8dd0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "170113f1708ef95604618f02d1a71c6217499541b8da92f19e03f410b15dd282",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-11-05T13:50:54Z",
    "title_canon_sha256": "3ed7b56939f1babebf9c9ef7fc7e11384d5dd64076c6b8a3cf597a23de967e0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.01741",
    "kind": "arxiv",
    "version": 2
  }
}