Pith Number

pith:O5T6B2CA

pith:2013:O5T6B2CAGXV2IGQYD3F73VATMC

not attested not anchored not stored refs pending

Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs

Baris Evren Ugurcan, Joe P. Chen

arxiv:1307.5825 v2 · 2013-07-22 · math.PR · cond-mat.stat-mech · 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{O5T6B2CAGXV2IGQYD3F73VATMC}

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	2026-05-18T01:30:35.680266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7767e0e84035eba41a181ecbfdd41360b8ab8ddc3dd2f56cb87ee18a6a3c5c85

Aliases

arxiv: 1307.5825 · arxiv_version: 1307.5825v2 · doi: 10.48550/arxiv.1307.5825 · pith_short_12: O5T6B2CAGXV2 · pith_short_16: O5T6B2CAGXV2IGQY · pith_short_8: O5T6B2CA

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/O5T6B2CAGXV2IGQYD3F73VATMC \
  | 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: 7767e0e84035eba41a181ecbfdd41360b8ab8ddc3dd2f56cb87ee18a6a3c5c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af6d2bb4662840d998ce4e579c5e35fb4d6af2ff848c12084c70c67394ac6677",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-22T19:18:26Z",
    "title_canon_sha256": "4c722091724e4d1d0c2f81d8a4b8a88827a78c3000822533f26cc1c36cc589c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5825",
    "kind": "arxiv",
    "version": 2
  }
}