Pith Number

pith:PGO5WQRW

pith:2012:PGO5WQRWHS52IYC7B4DREQFP4T

not attested not anchored not stored refs pending

Spectral dimension of trees with a unique infinite spine

Sigurdur Orn Stefansson, Stefan Zohren

arxiv:1202.5388 v2 · 2012-02-24 · cond-mat.stat-mech · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PGO5WQRWHS52IYC7B4DREQFP4T}

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	2026-05-18T03:53:04.852772Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799ddb42363cbba4605f0f071240afe4c74976111a57b11433ace24bc83cadb0

Aliases

arxiv: 1202.5388 · arxiv_version: 1202.5388v2 · doi: 10.48550/arxiv.1202.5388 · pith_short_12: PGO5WQRWHS52 · pith_short_16: PGO5WQRWHS52IYC7 · pith_short_8: PGO5WQRW

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/PGO5WQRWHS52IYC7B4DREQFP4T \
  | 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: 799ddb42363cbba4605f0f071240afe4c74976111a57b11433ace24bc83cadb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45fefe9cc50e073e033aa09ec1c7ffbe86cbb8258e319b306d6564f13c369e2e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-02-24T08:09:42Z",
    "title_canon_sha256": "da4493cf2975d1c5c0b64db6de2f45952369e4e8056a87f5feb5ca2c96150e1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.5388",
    "kind": "arxiv",
    "version": 2
  }
}