Pith Number

pith:4OAYWV5Y

pith:2000:4OAYWV5YW6F46JNPZKB7DNU4GI

not attested not anchored not stored refs pending

Combinatorial Dehn surgery on cubed and Haken 3-manifolds

Iain R. Aitchison, J. Hyam Rubinstein

arxiv:math/0008245 v1 · 2000-08-30 · 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{4OAYWV5YW6F46JNPZKB7DNU4GI}

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	2026-07-04T15:51:29.483293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3818b57b8b78bcf25afca83f1b69c321c2b626bd744fb966ee3d3a2ddd95e48

Aliases

arxiv: math/0008245 · arxiv_version: math/0008245v1 · doi: 10.48550/arxiv.math/0008245 · pith_short_12: 4OAYWV5YW6F4 · pith_short_16: 4OAYWV5YW6F46JNP · pith_short_8: 4OAYWV5Y

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/4OAYWV5YW6F46JNPZKB7DNU4GI \
  | 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: e3818b57b8b78bcf25afca83f1b69c321c2b626bd744fb966ee3d3a2ddd95e48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f14cf81e8a6f40b3dc65bc70b3cb5ad98c8542b5e11620b953274b676958b3fb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-08-30T00:00:00Z",
    "title_canon_sha256": "6710aae1f49f58e8954449b75babd8c12a48a711ae761836aacefb67357a8140"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0008245",
    "kind": "arxiv",
    "version": 1
  }
}