Pith Number

pith:SOYUN3N5

pith:2011:SOYUN3N57AXD6EELP4W3QAY4J4

not attested not anchored not stored refs pending

Four groups related to associators

Hidekazu Furusho

arxiv:1108.3389 v1 · 2011-08-17 · math.QA · math.AG · math.GN · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SOYUN3N57AXD6EELP4W3QAY4J4}

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	2026-05-18T04:15:18.082670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93b146edbdf82e3f108b7f2db8031c4f0fda75cc0914e501eb1e0f0e95cfa864

Aliases

arxiv: 1108.3389 · arxiv_version: 1108.3389v1 · doi: 10.48550/arxiv.1108.3389 · pith_short_12: SOYUN3N57AXD · pith_short_16: SOYUN3N57AXD6EEL · pith_short_8: SOYUN3N5

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/SOYUN3N57AXD6EELP4W3QAY4J4 \
  | 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: 93b146edbdf82e3f108b7f2db8031c4f0fda75cc0914e501eb1e0f0e95cfa864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "646b7cac1ab582493c903c85f571d2eb2ad8a832f3a8bc96257148fcfc924400",
    "cross_cats_sorted": [
      "math.AG",
      "math.GN",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-08-17T04:01:45Z",
    "title_canon_sha256": "cf52c2dccd40450edcc352742c815f6a3664b472ef6e1e59a7f31deee276fa4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3389",
    "kind": "arxiv",
    "version": 1
  }
}