Pith Number

pith:RACM7M6A

pith:2001:RACM7M6A5ST7L5V2ZZ5XIGFOJN

not attested not anchored not stored refs pending

Minimal volume Alexandrov spaces

Peter A. Storm

arxiv:math/0112095 v3 · 2001-12-11 · 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{RACM7M6A5ST7L5V2ZZ5XIGFOJN}

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	2026-07-04T15:38:21.430552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8804cfb3c0eca7f5f6bace7b7418ae4b773043fc6714e099790d106b0d93ea00

Aliases

arxiv: math/0112095 · arxiv_version: math/0112095v3 · doi: 10.48550/arxiv.math/0112095 · pith_short_12: RACM7M6A5ST7 · pith_short_16: RACM7M6A5ST7L5V2 · pith_short_8: RACM7M6A

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/RACM7M6A5ST7L5V2ZZ5XIGFOJN \
  | 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: 8804cfb3c0eca7f5f6bace7b7418ae4b773043fc6714e099790d106b0d93ea00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89286f2370271e42e9389a8cd09743b8c0cc94a3f87b5365ae469576d76efdb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2001-12-11T01:24:57Z",
    "title_canon_sha256": "7bbfc5b70e155da6cd4c7b1f9025d270ecd032e8a34e808221f64f01457d2d84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0112095",
    "kind": "arxiv",
    "version": 3
  }
}