Pith Number

pith:T5B5ITTC

pith:2014:T5B5ITTCGMJQRU64PHY3I4MD4F

not attested not anchored not stored refs pending

Level Lines of Gaussian Free Field I: Zero-Boundary GFF

Hao Wu, Menglu Wang

arxiv:1412.3839 v3 · 2014-12-11 · 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{T5B5ITTCGMJQRU64PHY3I4MD4F}

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	2026-05-18T00:14:41.650236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f43d44e62331308d3dc79f1b47183e159403bcf9f7df43378b83a2eff8913dc

Aliases

arxiv: 1412.3839 · arxiv_version: 1412.3839v3 · doi: 10.48550/arxiv.1412.3839 · pith_short_12: T5B5ITTCGMJQ · pith_short_16: T5B5ITTCGMJQRU64 · pith_short_8: T5B5ITTC

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/T5B5ITTCGMJQRU64PHY3I4MD4F \
  | 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: 9f43d44e62331308d3dc79f1b47183e159403bcf9f7df43378b83a2eff8913dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a3152e832614f4cb2dc0e2fd48c4316e05f8ebe7b196a5275b0537a531f0b10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-11T22:07:13Z",
    "title_canon_sha256": "de423f1f8db63280af63b3ecbadc28548dccd5d529b94163c99e8e82df8ec519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.3839",
    "kind": "arxiv",
    "version": 3
  }
}