Pith Number

pith:7PQWA6R3

pith:2008:7PQWA6R3CSVVOGQQT5AZPP2RHF

not attested not anchored not stored refs pending

Reversible biholomorphic germs

Anthony G. O'Farrell, Patrick Ahern

arxiv:0812.1575 v1 · 2008-12-08 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PQWA6R3CSVVOGQQT5AZPP2RHF}

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	2026-05-18T02:59:45.733693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe1607a3b14ab571a109f4197bf513943362f7e539fbd65875d5c928d6345cd

Aliases

arxiv: 0812.1575 · arxiv_version: 0812.1575v1 · doi: 10.48550/arxiv.0812.1575 · pith_short_12: 7PQWA6R3CSVV · pith_short_16: 7PQWA6R3CSVVOGQQ · pith_short_8: 7PQWA6R3

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/7PQWA6R3CSVVOGQQT5AZPP2RHF \
  | 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: fbe1607a3b14ab571a109f4197bf513943362f7e539fbd65875d5c928d6345cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14f5ebc8b7e104144056c2f5881575deba09a4f3dc79a0d40f38dae7f285541",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-12-08T21:32:32Z",
    "title_canon_sha256": "cfc526327fc8012fea351e1e615b710e572b83e0d91c6d851837c5404c1f6d4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1575",
    "kind": "arxiv",
    "version": 1
  }
}