Pith Number

pith:V4U6DXKO

pith:2013:V4U6DXKOJ34XB264I3EDH5FSH7

not attested not anchored not stored refs pending

Infinity Links L, infinity-4-Manifolds M_L and Kirby Categories

Renaud Gauthier

arxiv:1309.7514 v1 · 2013-09-29 · math.GT · math-ph · math.AG · math.CT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4U6DXKOJ34XB264I3EDH5FSH7}

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	2026-05-18T03:11:56.755639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af29e1dd4e4ef970ebdc46c833f4b23fca3b1052b473529cb4b7cb2d074c3cc7

Aliases

arxiv: 1309.7514 · arxiv_version: 1309.7514v1 · doi: 10.48550/arxiv.1309.7514 · pith_short_12: V4U6DXKOJ34X · pith_short_16: V4U6DXKOJ34XB264 · pith_short_8: V4U6DXKO

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/V4U6DXKOJ34XB264I3EDH5FSH7 \
  | 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: af29e1dd4e4ef970ebdc46c833f4b23fca3b1052b473529cb4b7cb2d074c3cc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a3d87ecf2085105939dbf025e8dab52e27a82a84790f72a48d36231760e508d",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.CT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-29T00:50:59Z",
    "title_canon_sha256": "a9236682082610b4669069b415cbbaae70123876bb1ca4ea1561a06a07a55a2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7514",
    "kind": "arxiv",
    "version": 1
  }
}