Pith Number

pith:6OFSZBWU

pith:2012:6OFSZBWU2X3MZMB2KECGTZEQTW

not attested not anchored not stored refs pending

Two Ext groups and a residue

Michael McQuillan

arxiv:1207.1155 v1 · 2012-07-05 · math.CV · math.AG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OFSZBWU2X3MZMB2KECGTZEQTW}

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	2026-05-18T03:51:46.724580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f38b2c86d4d5f6ccb03a510469e4909da6ca27572e8543e13d90b92ec97fc16e

Aliases

arxiv: 1207.1155 · arxiv_version: 1207.1155v1 · doi: 10.48550/arxiv.1207.1155 · pith_short_12: 6OFSZBWU2X3M · pith_short_16: 6OFSZBWU2X3MZMB2 · pith_short_8: 6OFSZBWU

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/6OFSZBWU2X3MZMB2KECGTZEQTW \
  | 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: f38b2c86d4d5f6ccb03a510469e4909da6ca27572e8543e13d90b92ec97fc16e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "457436d11cf7024d1022f19c3c3e2167ec44735b15a4035c424d3ef9e25e2bf5",
    "cross_cats_sorted": [
      "math.AG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-07-05T02:19:38Z",
    "title_canon_sha256": "64572eb9254c616e0924d0fc4712a17d75f42f07b5e8970090025ee102926b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1155",
    "kind": "arxiv",
    "version": 1
  }
}