Pith Number

pith:NGIR4GDI

pith:2016:NGIR4GDIKWBJV5E3UVM5UNQKL7

not attested not anchored not stored refs pending

Phase-transitions of the random bond Potts chain with long-range interactions

Ferenc Igl\'oi, Jean-Christian Angl\`es d'Auriac

arxiv:1607.06968 v1 · 2016-07-23 · 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{NGIR4GDIKWBJV5E3UVM5UNQKL7}

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	2026-05-18T00:53:59.638975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69911e186855829af49ba559da360a5ff4e40138df17fb5f3c38b47f0a0b5f8f

Aliases

arxiv: 1607.06968 · arxiv_version: 1607.06968v1 · doi: 10.48550/arxiv.1607.06968 · pith_short_12: NGIR4GDIKWBJ · pith_short_16: NGIR4GDIKWBJV5E3 · pith_short_8: NGIR4GDI

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/NGIR4GDIKWBJV5E3UVM5UNQKL7 \
  | 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: 69911e186855829af49ba559da360a5ff4e40138df17fb5f3c38b47f0a0b5f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0fd61dfa837b9473b338155709796b344af16d0cf835d98ed0773e9969b5087",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2016-07-23T19:52:49Z",
    "title_canon_sha256": "ca1402bf569991dd96a44b05fb86b9c42799145ec96cdb9cd2fc52055465c01e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06968",
    "kind": "arxiv",
    "version": 1
  }
}