Pith Number

pith:PI7GQRYZ

pith:2013:PI7GQRYZWZMJ4KW5JZTVEXYHZW

not attested not anchored not stored refs pending

Phase transitions in the three-dimensional Z(N) models

Alessandro Papa, Gennaro Cortese, Ivan Surzhikov, Mario Gravina, Oleg Borisenko, Volodymyr Chelnokov

arxiv:1311.0471 v1 · 2013-11-03 · hep-lat · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PI7GQRYZWZMJ4KW5JZTVEXYHZW}

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	2026-05-18T03:08:05.840447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a3e684719b6589e2add4e67525f07cd96cc2ae3fba3864fed6a02fd49f838b1

Aliases

arxiv: 1311.0471 · arxiv_version: 1311.0471v1 · doi: 10.48550/arxiv.1311.0471 · pith_short_12: PI7GQRYZWZMJ · pith_short_16: PI7GQRYZWZMJ4KW5 · pith_short_8: PI7GQRYZ

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/PI7GQRYZWZMJ4KW5JZTVEXYHZW \
  | 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: 7a3e684719b6589e2add4e67525f07cd96cc2ae3fba3864fed6a02fd49f838b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f784e6ef7a8f92de8a9c31f5eee43318c2ddd72caa9f66c8897f2334ea010ce",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2013-11-03T14:29:58Z",
    "title_canon_sha256": "ce30d9ab29fdf72ee72bae898a11cb3810b44ae090dfe6083a6832544da5b100"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0471",
    "kind": "arxiv",
    "version": 1
  }
}