Pith Number

pith:5JQIEWYM

pith:2013:5JQIEWYMY5UPGSPBFMUW5AIJX3

not attested not anchored not stored refs pending

The algebra of essential relations on a finite set

Jacques Th\'evenaz, Serge Bouc (LAMFA)

arxiv:1310.7695 v1 · 2013-10-29 · math.RT · math.GR · 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{5JQIEWYMY5UPGSPBFMUW5AIJX3}

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	2026-05-18T03:08:35.535696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea60825b0cc768f349e12b296e8109befed617a5daf2a2b5d97a0bd89c383e53

Aliases

arxiv: 1310.7695 · arxiv_version: 1310.7695v1 · doi: 10.48550/arxiv.1310.7695 · pith_short_12: 5JQIEWYMY5UP · pith_short_16: 5JQIEWYMY5UPGSPB · pith_short_8: 5JQIEWYM

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/5JQIEWYMY5UPGSPBFMUW5AIJX3 \
  | 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: ea60825b0cc768f349e12b296e8109befed617a5daf2a2b5d97a0bd89c383e53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41b37080ad6bcb3eabe8ec63cbde5758da1b23bbc9dbcb637c79c3dd005be149",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-10-29T06:51:31Z",
    "title_canon_sha256": "80dcfe15c01f2f68e904d918594e4299289d8667e7b02150cd61b65dd9a16c76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7695",
    "kind": "arxiv",
    "version": 1
  }
}