Pith Number

pith:QPTUYNRX

pith:2014:QPTUYNRX2IY7XHBAULRJO3F2WB

not attested not anchored not stored refs pending

Phase transitions in layered systems

Domingos H. U. Marchetti, Errico Presutti, Immacolata Merola, Luiz Renato Fontes, Maria Eulalia Vares

arxiv:1406.3293 v2 · 2014-06-12 · 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{QPTUYNRX2IY7XHBAULRJO3F2WB}

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	2026-05-18T02:39:08.672792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83e74c3637d231fb9c20a2e2976cbab048b9693d3c6eddd84e8ea3921c6222af

Aliases

arxiv: 1406.3293 · arxiv_version: 1406.3293v2 · doi: 10.48550/arxiv.1406.3293 · pith_short_12: QPTUYNRX2IY7 · pith_short_16: QPTUYNRX2IY7XHBA · pith_short_8: QPTUYNRX

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/QPTUYNRX2IY7XHBAULRJO3F2WB \
  | 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: 83e74c3637d231fb9c20a2e2976cbab048b9693d3c6eddd84e8ea3921c6222af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9908d33c48d4eb825f275ac4823fabafc25062eb7120e080c7487a58d2b9e933",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-12T17:26:22Z",
    "title_canon_sha256": "2f0ecbfeca135cc83928143e1b5725daf0317e17871cf07c7e54a5d1f6e2c7fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3293",
    "kind": "arxiv",
    "version": 2
  }
}