Pith Number

pith:HKMLUHQH

pith:2009:HKMLUHQHSHNPOD5GF6SKJSYIXO

not attested not anchored not stored refs pending

Dehn twists and invariant classes

Eugene Z. Xia

arxiv:0901.2692 v3 · 2009-01-18 · math.AG · 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{HKMLUHQHSHNPOD5GF6SKJSYIXO}

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	2026-05-18T00:32:55.896685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a98ba1e0791daf70fa62fa4a4cb08bb9a2c4285fc609113a105f61d3898cd4a

Aliases

arxiv: 0901.2692 · arxiv_version: 0901.2692v3 · doi: 10.48550/arxiv.0901.2692 · pith_short_12: HKMLUHQHSHNP · pith_short_16: HKMLUHQHSHNPOD5G · pith_short_8: HKMLUHQH

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/HKMLUHQHSHNPOD5GF6SKJSYIXO \
  | 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: 3a98ba1e0791daf70fa62fa4a4cb08bb9a2c4285fc609113a105f61d3898cd4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9941a1bc49955b6ff1cd7cdc4ec074cc0e295ed9c8b4dd8c5cc44db5afb8831e",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-18T10:30:57Z",
    "title_canon_sha256": "0a09e1b2764c8f279f3685da1c3dfd2e0c8be14c1ca15c4c8bcb5b7be18c0a16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.2692",
    "kind": "arxiv",
    "version": 3
  }
}