Pith Number

pith:IW3P5RYW

pith:2003:IW3P5RYWHPS55QU4P56NQ6KD3D

not attested not anchored not stored refs pending

Spheres and Minima

Igor Rivin

arxiv:math/0305252 v1 · 2003-05-18 · math.PR · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IW3P5RYWHPS55QU4P56NQ6KD3D}

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	2026-05-18T01:05:28.882911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45b6fec7163be5dec29c7f7cd87943d8e6a3db3196914979fccccb9c1d50d8bd

Aliases

arxiv: math/0305252 · arxiv_version: math/0305252v1 · doi: 10.48550/arxiv.math/0305252 · pith_short_12: IW3P5RYWHPS5 · pith_short_16: IW3P5RYWHPS55QU4 · pith_short_8: IW3P5RYW

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/IW3P5RYWHPS55QU4P56NQ6KD3D \
  | 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: 45b6fec7163be5dec29c7f7cd87943d8e6a3db3196914979fccccb9c1d50d8bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8d48931bc0384a5d8dde70ec64a88712d9cf180fbadbc1e0b8d13b63be9b70d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2003-05-18T03:28:48Z",
    "title_canon_sha256": "8fb08b550b8ada44d462c5e8e3665bbd5370469fef7c8dd9795aacb8363e8d96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0305252",
    "kind": "arxiv",
    "version": 1
  }
}