Pith Number

pith:GXJW2Y4R

pith:2026:GXJW2Y4RDBIH4KGFIOYBWM7PEY

not attested not anchored not stored refs pending

Second-order fluctuations for a phase transition in random partitions

Jaime Garza, Yizao Wang

arxiv:2607.01946 v1 · 2026-07-02 · 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{GXJW2Y4RDBIH4KGFIOYBWM7PEY}

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	2026-07-03T01:17:34.674899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d36d639118507e28c543b01b33ef262207fc3d97cddb1b968bd18e3e1cf294

Aliases

arxiv: 2607.01946 · arxiv_version: 2607.01946v1 · doi: 10.48550/arxiv.2607.01946 · pith_short_12: GXJW2Y4RDBIH · pith_short_16: GXJW2Y4RDBIH4KGF · pith_short_8: GXJW2Y4R

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/GXJW2Y4RDBIH4KGFIOYBWM7PEY \
  | 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: 35d36d639118507e28c543b01b33ef262207fc3d97cddb1b968bd18e3e1cf294

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2cc84d38e7e90508347177061c2fbcd6c67064ff53489476ff81d630da62fb9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-02T09:38:01Z",
    "title_canon_sha256": "4008afe3ce6ae242a3fe62fe2c81c90e80f858a3b7552e4d3393a03a6147b270"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01946",
    "kind": "arxiv",
    "version": 1
  }
}