Pith Number

pith:QVVHKGCQ

pith:1998:QVVHKGCQK5U5ADBPSJCHONVZCM

not attested not anchored not stored refs pending

A Fully Magnetizing Phase Transition

Andreas Knauf, Peter Kleban, Pierluigi Contucci

arxiv:math-ph/9811020 v1 · 1998-11-20 · math-ph · cond-mat · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QVVHKGCQK5U5ADBPSJCHONVZCM}

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	2026-05-18T01:38:30.665743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856a7518505769d00c2f92447736b91330a9fd9748b8a81a6512cfef8466b2bb

Aliases

arxiv: math-ph/9811020 · arxiv_version: math-ph/9811020v1 · doi: 10.48550/arxiv.math-ph/9811020 · pith_short_12: QVVHKGCQK5U5 · pith_short_16: QVVHKGCQK5U5ADBP · pith_short_8: QVVHKGCQ

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/QVVHKGCQK5U5ADBPSJCHONVZCM \
  | 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: 856a7518505769d00c2f92447736b91330a9fd9748b8a81a6512cfef8466b2bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c15e2fcd85adb30801f54ff8606969da970f4312a6efd8f30455ec5e919242f",
    "cross_cats_sorted": [
      "cond-mat",
      "math.MP",
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-11-20T19:57:28Z",
    "title_canon_sha256": "580200942f951599b9aabeed7a554d26edb82f4cd3f060204cf6154e674d1200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9811020",
    "kind": "arxiv",
    "version": 1
  }
}