Pith Number

pith:42ZOOMHW

pith:2011:42ZOOMHWE6FUSCBHVJGTBTN7XF

not attested not anchored not stored refs pending

Spectra of sparse regular graphs with loops

D. Boll\'e, F. L. Metz, I. Neri

arxiv:1107.4127 v1 · 2011-07-20 · cond-mat.stat-mech · cond-mat.dis-nn · cs.SI · math-ph · math.MP · physics.soc-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{42ZOOMHWE6FUSCBHVJGTBTN7XF}

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	2026-05-18T04:06:56.693409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b2e730f6278b490827aa4d30cdbfb9570669413fa4c55225b8e2e64f73d024

Aliases

arxiv: 1107.4127 · arxiv_version: 1107.4127v1 · doi: 10.48550/arxiv.1107.4127 · pith_short_12: 42ZOOMHWE6FU · pith_short_16: 42ZOOMHWE6FUSCBH · pith_short_8: 42ZOOMHW

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/42ZOOMHWE6FUSCBHVJGTBTN7XF \
  | 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: e6b2e730f6278b490827aa4d30cdbfb9570669413fa4c55225b8e2e64f73d024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab430a6e7642a4c9d52a4ef447608116cb82eb2ca83cd0218c732c8be82aa73",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cs.SI",
      "math-ph",
      "math.MP",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-07-20T22:03:30Z",
    "title_canon_sha256": "d0eba32c3d75f885ad5cf54c3645cf92ac7bdb633c021dc8684dcf9a08f36625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4127",
    "kind": "arxiv",
    "version": 1
  }
}