Pith Number

pith:X7TXRLTK

pith:2013:X7TXRLTKTJMWRDP4X3JU6WKOGI

not attested not anchored not stored refs pending

Pairings from a tensor product point of view

Laurent Poinsot (LIPN), Nadia El Mrabet (LIASD)

arxiv:1304.5779 v2 · 2013-04-21 · math.RA · cs.CR · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7TXRLTKTJMWRDP4X3JU6WKOGI}

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	2026-05-18T03:25:58.143446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfe778ae6a9a59688dfcbed34f594e322987ec43b889f29bd9710818fbc6f571

Aliases

arxiv: 1304.5779 · arxiv_version: 1304.5779v2 · doi: 10.48550/arxiv.1304.5779 · pith_short_12: X7TXRLTKTJMW · pith_short_16: X7TXRLTKTJMWRDP4 · pith_short_8: X7TXRLTK

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/X7TXRLTKTJMWRDP4X3JU6WKOGI \
  | 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: bfe778ae6a9a59688dfcbed34f594e322987ec43b889f29bd9710818fbc6f571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddbcd880ed83e3e65018844c30367e43d4c354912588f555bf0f0f160b91e83f",
    "cross_cats_sorted": [
      "cs.CR",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-21T19:05:50Z",
    "title_canon_sha256": "30aaef274d66e57ecb8fafa1d90196e02aab0f0745f86f5f5ff8e38a4bbbe603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5779",
    "kind": "arxiv",
    "version": 2
  }
}