Pith Number

pith:7TWH3PDR

pith:2009:7TWH3PDR3HBJL7SJ6YDQHHQRF6

not attested not anchored not stored refs pending

Braiding surface links which are coverings over the standard torus

Inasa Nakamura

arxiv:0905.1469 v2 · 2009-05-10 · 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{7TWH3PDR3HBJL7SJ6YDQHHQRF6}

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	2026-05-18T02:24:55.796534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcec7dbc71d9c295fe49f607039e112fa86ea6b2a2b4779b6b9d82f587cc2636

Aliases

arxiv: 0905.1469 · arxiv_version: 0905.1469v2 · doi: 10.48550/arxiv.0905.1469 · pith_short_12: 7TWH3PDR3HBJ · pith_short_16: 7TWH3PDR3HBJL7SJ · pith_short_8: 7TWH3PDR

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/7TWH3PDR3HBJL7SJ6YDQHHQRF6 \
  | 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: fcec7dbc71d9c295fe49f607039e112fa86ea6b2a2b4779b6b9d82f587cc2636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0caafdf0cfb3ff295a9e7a372846c1d08593f40bbe64c7c0956dd5b00f72d9d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-10T12:48:18Z",
    "title_canon_sha256": "cd130675a34dfdc45e38f8b2c43f876cf61b10d3c02b8c1d2455a9b19b567aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1469",
    "kind": "arxiv",
    "version": 2
  }
}