Pith Number

pith:XSA5KWIU

pith:2003:XSA5KWIUJXV5TCGJRUZPBFT3DU

not attested not anchored not stored refs pending

Quantum site percolation on amenable graphs

Ivan Veselic'

arxiv:math-ph/0308041 v2 · 2003-08-28 · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XSA5KWIUJXV5TCGJRUZPBFT3DU}

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	2026-05-18T01:23:17.188302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc81d559144debd988c98d32f0967b1d36106062ba38be7bbff9995353ca9bfc

Aliases

arxiv: math-ph/0308041 · arxiv_version: math-ph/0308041v2 · doi: 10.48550/arxiv.math-ph/0308041 · pith_short_12: XSA5KWIUJXV5 · pith_short_16: XSA5KWIUJXV5TCGJ · pith_short_8: XSA5KWIU

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/XSA5KWIUJXV5TCGJRUZPBFT3DU \
  | 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: bc81d559144debd988c98d32f0967b1d36106062ba38be7bbff9995353ca9bfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf80e5785dc5e501c4566e898ef87ee50ee66501ddbc75da4fa3a79b2e71858b",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2003-08-28T23:04:29Z",
    "title_canon_sha256": "8b929da5a7847ce57c1ef063ca857308ba874d6f9f2c379e5b03d92194cb3e53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0308041",
    "kind": "arxiv",
    "version": 2
  }
}