Pith Number

pith:KY3YYZNX

pith:2005:KY3YYZNX2QDHSWZT5BA5VARRET

not attested not anchored not stored refs pending

Power diagrams and Morse Theory

Dirk Siersma, Martijn van Manen

arxiv:math/0508037 v3 · 2005-08-01 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KY3YYZNX2QDHSWZT5BA5VARRET}

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	2026-05-18T02:53:30.738929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56378c65b7d406795b33e841da823124e7f90e59cf4820149697b0919e7ed198

Aliases

arxiv: math/0508037 · arxiv_version: math/0508037v3 · doi: 10.48550/arxiv.math/0508037 · pith_short_12: KY3YYZNX2QDH · pith_short_16: KY3YYZNX2QDHSWZT · pith_short_8: KY3YYZNX

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/KY3YYZNX2QDHSWZT5BA5VARRET \
  | 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: 56378c65b7d406795b33e841da823124e7f90e59cf4820149697b0919e7ed198

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49d30b78c16777b5109edc6fe48ee6070409178442bd37bdae8719678d5ffbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2005-08-01T15:00:15Z",
    "title_canon_sha256": "8d8b317d3ab21f4b63d4cc10d3ad74b952963cbe422aee327b24efdef1ea3935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508037",
    "kind": "arxiv",
    "version": 3
  }
}