Pith Number

pith:ZSK5MLZD

pith:2014:ZSK5MLZDFJI7NY5ZEZEWMEF4HX

not attested not anchored not stored refs pending

Phase transition for the dilute clock model

In\'es Armend\'ariz, Nahuel Soprano-Loto, Pablo Augusto Ferrari

arxiv:1404.4071 v2 · 2014-04-15 · 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{ZSK5MLZDFJI7NY5ZEZEWMEF4HX}

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	2026-05-18T02:29:45.545038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc95d62f232a51f6e3b926496610bc3dcf9cca2dd83b9537a840dac38018e2a2

Aliases

arxiv: 1404.4071 · arxiv_version: 1404.4071v2 · doi: 10.48550/arxiv.1404.4071 · pith_short_12: ZSK5MLZDFJI7 · pith_short_16: ZSK5MLZDFJI7NY5Z · pith_short_8: ZSK5MLZD

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/ZSK5MLZDFJI7NY5ZEZEWMEF4HX \
  | 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: cc95d62f232a51f6e3b926496610bc3dcf9cca2dd83b9537a840dac38018e2a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e80d2d8c63e4c298c1a787d8bf6f560213027e9ecc89595a5446ed12992fdf0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-04-15T20:36:10Z",
    "title_canon_sha256": "cc46d61f58b2ddd1486448a800b4e4bb7f478042487ba2f4a0026ea5e49af253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4071",
    "kind": "arxiv",
    "version": 2
  }
}