Pith Number

pith:RKYK3EDQ

pith:2003:RKYK3EDQLVDHG4CA3QQXD6G2ZW

not attested not anchored not stored refs pending

Large embedded balls and Heegaard genus in negative curvature

Daryl Cooper, David Bachman, Matthew E. White

arxiv:math/0305290 v2 · 2003-05-20 · 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{RKYK3EDQLVDHG4CA3QQXD6G2ZW}

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	2026-05-18T02:41:32.690589Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ab0ad90705d46737040dc2171f8dacd9263524b209a2a0a4d2a2d348cf78091

Aliases

arxiv: math/0305290 · arxiv_version: math/0305290v2 · doi: 10.48550/arxiv.math/0305290 · pith_short_12: RKYK3EDQLVDH · pith_short_16: RKYK3EDQLVDHG4CA · pith_short_8: RKYK3EDQ

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/RKYK3EDQLVDHG4CA3QQXD6G2ZW \
  | 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: 8ab0ad90705d46737040dc2171f8dacd9263524b209a2a0a4d2a2d348cf78091

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7cc1a8d999a88f2043e6841fce1fe016563bd7832b37ea6363f563fe6aab567",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-05-20T16:35:17Z",
    "title_canon_sha256": "103c374ba9cc7c68aea46793d2198690b27a886eaddbee93cf0d3881949ef03f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305290",
    "kind": "arxiv",
    "version": 2
  }
}