Pith Number

pith:W3SM64Y6

pith:2008:W3SM64Y6ZVWH3CB22H6W75T3SS

not attested not anchored not stored refs pending

Anti-Perfect Morse Stratification

Chiu-Chu Melissa Liu, Nan-Kuo Ho

arxiv:0808.3974 v3 · 2008-08-28 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3SM64Y6ZVWH3CB22H6W75T3SS}

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	2026-05-18T04:21:21.603625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e4cf731ecd6c7d883ad1fd6ff67b949a7a17dc5355e36ac9e02bc59e057b2a

Aliases

arxiv: 0808.3974 · arxiv_version: 0808.3974v3 · doi: 10.48550/arxiv.0808.3974 · pith_short_12: W3SM64Y6ZVWH · pith_short_16: W3SM64Y6ZVWH3CB2 · pith_short_8: W3SM64Y6

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/W3SM64Y6ZVWH3CB22H6W75T3SS \
  | 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: b6e4cf731ecd6c7d883ad1fd6ff67b949a7a17dc5355e36ac9e02bc59e057b2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114be108670768bffbd3688f6b7a2a6892f5da5c2270cc4bc157d808bd96de60",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-08-28T19:12:23Z",
    "title_canon_sha256": "f7058c42484eeb8dfd272f1aa72f2aea5dc31068fc9cc6f22b40eab1e22d1773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3974",
    "kind": "arxiv",
    "version": 3
  }
}