Pith Number

pith:HR376UAH

pith:2004:HR376UAHQFVTMPLFZOYNXRK544

not attested not anchored not stored refs pending

Spectral Analysis of Percolation Hamiltonians

Ivan Veselic'

arxiv:math-ph/0405006 v3 · 2004-05-03 · 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{HR376UAHQFVTMPLFZOYNXRK544}

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	2026-05-18T01:23:17.180072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c77ff5007816b363d65cbb0dbc55de721774dbe38b97ee1cad96fdf2e162a4d

Aliases

arxiv: math-ph/0405006 · arxiv_version: math-ph/0405006v3 · doi: 10.48550/arxiv.math-ph/0405006 · pith_short_12: HR376UAHQFVT · pith_short_16: HR376UAHQFVTMPLF · pith_short_8: HR376UAH

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/HR376UAHQFVTMPLFZOYNXRK544 \
  | 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: 3c77ff5007816b363d65cbb0dbc55de721774dbe38b97ee1cad96fdf2e162a4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc2e80f86d3bc953dcedd84298e84841ddcea6bc8fef888e53b32d064018eef",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2004-05-03T18:08:39Z",
    "title_canon_sha256": "6240c5fb627b3126b09bab74ad0a528e0964b7ce2d870f085408cb376cd68c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0405006",
    "kind": "arxiv",
    "version": 3
  }
}