Pith Number

pith:7SVI5XXH

pith:2003:7SVI5XXHZPL3MSZXQGHRQJS4L4

not attested not anchored not stored refs pending

How many clusters? An information theoretic perspective

Susanne Still, William Bialek

arxiv:physics/0303011 v2 · 2003-03-04 · physics.data-an · physics.gen-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7SVI5XXHZPL3MSZXQGHRQJS4L4}

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	2026-07-04T14:43:53.648425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcaa8edee7cbd7b64b37818f18265c5f0f22e08037c8faf8abd0076f31407171

Aliases

arxiv: physics/0303011 · arxiv_version: physics/0303011v2 · doi: 10.48550/arxiv.physics/0303011 · pith_short_12: 7SVI5XXHZPL3 · pith_short_16: 7SVI5XXHZPL3MSZX · pith_short_8: 7SVI5XXH

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/7SVI5XXHZPL3MSZXQGHRQJS4L4 \
  | 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: fcaa8edee7cbd7b64b37818f18265c5f0f22e08037c8faf8abd0076f31407171

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ad5892b5bcec590502a56ce0c5b49d625b35f22cfa1160bdecfe7b71ff9954",
    "cross_cats_sorted": [
      "physics.gen-ph"
    ],
    "license": "",
    "primary_cat": "physics.data-an",
    "submitted_at": "2003-03-04T19:09:57Z",
    "title_canon_sha256": "4684942ebcacd85c4b3b43ddd367302ea278ccd394c1b5e766ea04be2f90fbd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0303011",
    "kind": "arxiv",
    "version": 2
  }
}