Pith Number

pith:5XUA6I6Z

pith:1999:5XUA6I6Z3UK23FS2BRWDZIZ4IB

not attested not anchored not stored refs pending

Homology stratifications and intersection homology

Brian Sanderson, Colin Rourke

arxiv:math/9911259 v1 · 1999-11-21 · 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{5XUA6I6Z3UK23FS2BRWDZIZ4IB}

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	2026-05-18T01:05:32.384752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ede80f23d9dd15ad965a0c6c3ca33c4065d4340aea2f42826d3dc03f82c7ea26

Aliases

arxiv: math/9911259 · arxiv_version: math/9911259v1 · doi: 10.48550/arxiv.math/9911259 · pith_short_12: 5XUA6I6Z3UK2 · pith_short_16: 5XUA6I6Z3UK23FS2 · pith_short_8: 5XUA6I6Z

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/5XUA6I6Z3UK23FS2BRWDZIZ4IB \
  | 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: ede80f23d9dd15ad965a0c6c3ca33c4065d4340aea2f42826d3dc03f82c7ea26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad673e8934a229ce477d489eb502a41988cc86b6a1b4951ba61acbbde83a6865",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-11-21T00:00:00Z",
    "title_canon_sha256": "210971fc6396463c9516e6c77d0be0e68ced50c2df4aaa8be4fc8e2b2cf44d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911259",
    "kind": "arxiv",
    "version": 1
  }
}