Pith Number

pith:CM5XJ4OY

pith:2009:CM5XJ4OY6CSLVJA5JTB62I5TIO

not attested not anchored not stored refs pending

Stabilization, amalgamation, and curves of intersection of Heegaard splittings

Ryan Derby-Talbot

arxiv:0903.3509 v1 · 2009-03-20 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CM5XJ4OY6CSLVJA5JTB62I5TIO}

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	2026-05-18T02:41:51.310612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

133b74f1d8f0a4baa41d4cc3ed23b343b455882955ffce320141d02d715c68bb

Aliases

arxiv: 0903.3509 · arxiv_version: 0903.3509v1 · doi: 10.48550/arxiv.0903.3509 · pith_short_12: CM5XJ4OY6CSL · pith_short_16: CM5XJ4OY6CSLVJA5 · pith_short_8: CM5XJ4OY

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/CM5XJ4OY6CSLVJA5JTB62I5TIO \
  | 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: 133b74f1d8f0a4baa41d4cc3ed23b343b455882955ffce320141d02d715c68bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c251734d790e82ee21218bac9366c2527da1ae50b7c837dfb0a7ed6fd8799929",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-03-20T14:07:39Z",
    "title_canon_sha256": "f765e8b816efb853b574aa69d0bf49c0e3c31bee79f8143bf9d7b992ad25d3ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3509",
    "kind": "arxiv",
    "version": 1
  }
}