Pith Number

pith:PTRA2XGE

pith:2026:PTRA2XGENM7DEQZV6ACEBXBOYY

not attested not anchored not stored refs pending

From the Airy line ensemble to the Gaussian free field

Alex Fu, Evgeni Dimitrov, Zhengye Zhou

arxiv:2607.10725 v1 · 2026-07-12 · math.PR · 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{PTRA2XGENM7DEQZV6ACEBXBOYY}

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	2026-07-14T01:21:37.033571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce20d5cc46b3e324335f00440dc2ec62ddcf1bd980418278453c992980e411f

Aliases

arxiv: 2607.10725 · arxiv_version: 2607.10725v1 · doi: 10.48550/arxiv.2607.10725 · pith_short_12: PTRA2XGENM7D · pith_short_16: PTRA2XGENM7DEQZV · pith_short_8: PTRA2XGE

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/PTRA2XGENM7DEQZV6ACEBXBOYY \
  | 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: 7ce20d5cc46b3e324335f00440dc2ec62ddcf1bd980418278453c992980e411f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0528e0983ae7425074a86fdb4a1f45ee7e518b8e9fbfcbeb19a7388a5da6fd8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-12T12:18:30Z",
    "title_canon_sha256": "3e9873ed3d67e80083fd56f6450496e0e4bb4b60ceae76c628a59a5eeabb65fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.10725",
    "kind": "arxiv",
    "version": 1
  }
}