Pith Number

pith:F7WNFZK3

pith:2005:F7WNFZK374LFVIXBLHS354U6CY

not attested not anchored not stored refs pending

A Lattice Spanning-Tree Entropy Function

George Lamb, ML Glasser

arxiv:math-ph/0504027 v1 · 2005-04-07 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7WNFZK374LFVIXBLHS354U6CY}

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	2026-07-04T14:34:05.521173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fecd2e55bff165aa2e159e5bef29e160970ce6194eb66fc6a0aecd5b2c5f4a1

Aliases

arxiv: math-ph/0504027 · arxiv_version: math-ph/0504027v1 · doi: 10.48550/arxiv.math-ph/0504027 · pith_short_12: F7WNFZK374LF · pith_short_16: F7WNFZK374LFVIXB · pith_short_8: F7WNFZK3

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/F7WNFZK374LFVIXBLHS354U6CY \
  | 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: 2fecd2e55bff165aa2e159e5bef29e160970ce6194eb66fc6a0aecd5b2c5f4a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e83dc9f87d58b6478ba2ce073b30641df21a2536fa6b593e5e516f569c3a545",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-04-07T17:10:13Z",
    "title_canon_sha256": "62e4706ff6fe954c713845f0f7605c10f87b98d7e7b3eeec9842623be8183751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0504027",
    "kind": "arxiv",
    "version": 1
  }
}