Pith Number

pith:P7I55AK6

pith:2005:P7I55AK6THQWHMGB4XVGHWNCBY

not attested not anchored not stored refs pending

Monoide des enlacements et facteurs orthogonaux (Monoids of linking pairings and orthogonal summands)

Florian Deloup

arxiv:math/0503265 v2 · 2005-03-14 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7I55AK6THQWHMGB4XVGHWNCBY}

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	2026-05-18T02:41:32.079517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fd1de815e99e163b0c1e5ea63d9a20e0bfa37fbbbe5a04a5a1f95d20d1feed9

Aliases

arxiv: math/0503265 · arxiv_version: math/0503265v2 · doi: 10.48550/arxiv.math/0503265 · pith_short_12: P7I55AK6THQW · pith_short_16: P7I55AK6THQWHMGB · pith_short_8: P7I55AK6

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/P7I55AK6THQWHMGB4XVGHWNCBY \
  | 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: 7fd1de815e99e163b0c1e5ea63d9a20e0bfa37fbbbe5a04a5a1f95d20d1feed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29896197d25aa040cdcd461d4b8350c43a31a5b69e5729f644c9398f6a8194c1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2005-03-14T16:12:21Z",
    "title_canon_sha256": "9c40dd8355a91769d10a742809a28f0107b3893283531482e41f6d85aca538e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503265",
    "kind": "arxiv",
    "version": 2
  }
}