Pith Number

pith:7JM3B7L3

pith:2009:7JM3B7L34LDWICLZQHYHM6TF3O

not attested not anchored not stored refs pending

Eta cocycles

Hitoshi Moriyoshi, Paolo Piazza

arxiv:0907.0173 v3 · 2009-07-01 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7JM3B7L34LDWICLZQHYHM6TF3O}

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	2026-05-18T04:28:55.847097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa59b0fd7be2c764097981f0767a65dba916136016ad3feb2cee767be4c7958f

Aliases

arxiv: 0907.0173 · arxiv_version: 0907.0173v3 · doi: 10.48550/arxiv.0907.0173 · pith_short_12: 7JM3B7L34LDW · pith_short_16: 7JM3B7L34LDWICLZ · pith_short_8: 7JM3B7L3

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/7JM3B7L34LDWICLZQHYHM6TF3O \
  | 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: fa59b0fd7be2c764097981f0767a65dba916136016ad3feb2cee767be4c7958f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3eaface454bc2cdf4d2b1654b7e06c65c0517f73da90865603570eb07c697958",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-07-01T16:22:14Z",
    "title_canon_sha256": "21e85ec5645faf0b0898c64004c71ca53d5c2155e35b664c0fd9b2bd25779d94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0173",
    "kind": "arxiv",
    "version": 3
  }
}