Pith Number

pith:V76TZW64

pith:2003:V76TZW644BP4PJTPBA73SAST2H

not attested not anchored not stored refs pending

On the slice genus of links

Patrick M. Gilmer, Vincent Florens

arxiv:math/0311136 v1 · 2003-11-09 · 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{V76TZW644BP4PJTPBA73SAST2H}

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	2026-05-18T01:23:59.482328Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

affd3cdbdce05fc7a66f083fb90253d1e9d6561be9a1c7a29ff24268c200578c

Aliases

arxiv: math/0311136 · arxiv_version: math/0311136v1 · doi: 10.48550/arxiv.math/0311136 · pith_short_12: V76TZW644BP4 · pith_short_16: V76TZW644BP4PJTP · pith_short_8: V76TZW64

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/V76TZW644BP4PJTPBA73SAST2H \
  | 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: affd3cdbdce05fc7a66f083fb90253d1e9d6561be9a1c7a29ff24268c200578c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80ffefc9757a3416afecf842feb9525ef47f73566ae4fbe4b0f5ce7a1085ed0d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-11-09T20:46:13Z",
    "title_canon_sha256": "9d698cc452be10c265a5ae50335e6d7d322dd67410d105fec9824defdec15d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311136",
    "kind": "arxiv",
    "version": 1
  }
}