Pith Number

pith:72AOSYQ3

pith:2011:72AOSYQ3BHIS6SDCZW6QU7NIB7

not attested not anchored not stored refs pending

A link invariant with values in the Witt ring

Ga\"el Collinet, Pierre Guillot

arxiv:1106.3598 v3 · 2011-06-18 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72AOSYQ3BHIS6SDCZW6QU7NIB7}

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	2026-05-18T03:45:12.623492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe80e9621b09d12f4862cdbd0a7da80fdbc7b74c1f9c9de4114288326e9a418b

Aliases

arxiv: 1106.3598 · arxiv_version: 1106.3598v3 · doi: 10.48550/arxiv.1106.3598 · pith_short_12: 72AOSYQ3BHIS · pith_short_16: 72AOSYQ3BHIS6SDC · pith_short_8: 72AOSYQ3

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/72AOSYQ3BHIS6SDCZW6QU7NIB7 \
  | 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: fe80e9621b09d12f4862cdbd0a7da80fdbc7b74c1f9c9de4114288326e9a418b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b155727477bc9c07a881c62855ce7167237659a7d2ed595b67a0c9ca9af1b8bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-18T00:17:38Z",
    "title_canon_sha256": "d1eb65dfa31de46e3ba468a8a5402abe654bca8b5d2c322063f30245c73acbfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3598",
    "kind": "arxiv",
    "version": 3
  }
}