Pith Number

pith:OILSAIGV

pith:2009:OILSAIGVYRKYTYUZIYHHJKAHQL

not attested not anchored not stored refs pending

L-infinity maps and twistings

Andrey Lazarev, Joseph Chuang

arxiv:0912.1215 v3 · 2009-12-07 · math.AT · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OILSAIGVYRKYTYUZIYHHJKAHQL}

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	2026-05-18T03:54:49.637592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72172020d5c45589e299460e74a80782faefbd0c4fefe95b10900372cbdcbf2f

Aliases

arxiv: 0912.1215 · arxiv_version: 0912.1215v3 · doi: 10.48550/arxiv.0912.1215 · pith_short_12: OILSAIGVYRKY · pith_short_16: OILSAIGVYRKYTYUZ · pith_short_8: OILSAIGV

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/OILSAIGVYRKYTYUZIYHHJKAHQL \
  | 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: 72172020d5c45589e299460e74a80782faefbd0c4fefe95b10900372cbdcbf2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40581cecbb592e1010f1139a66c538f16e8c7a40653d45f23017ecf965205247",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-12-07T12:27:56Z",
    "title_canon_sha256": "d02e2e96da87a549de6ca15943644dcc3dfb614818f8fb9848b0d5924e207815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1215",
    "kind": "arxiv",
    "version": 3
  }
}