Pith Number

pith:SECPK6TZ

pith:2005:SECPK6TZT2RN3T2HY347DQ7O7Q

not attested not anchored not stored refs pending

When topology triggers a phase transition

Michael Kastner

arxiv:cond-mat/0509136 v1 · 2005-09-06 · 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{SECPK6TZT2RN3T2HY347DQ7O7Q}

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	2026-07-04T15:25:57.611072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9104f57a799ea2ddcf47c6f9f1c3eefc1bc8d3a7df18f30357b3be5de5ce2fc6

Aliases

arxiv: cond-mat/0509136 · arxiv_version: cond-mat/0509136v1 · doi: 10.48550/arxiv.cond-mat/0509136 · pith_short_12: SECPK6TZT2RN · pith_short_16: SECPK6TZT2RN3T2H · pith_short_8: SECPK6TZ

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/SECPK6TZT2RN3T2HY347DQ7O7Q \
  | 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: 9104f57a799ea2ddcf47c6f9f1c3eefc1bc8d3a7df18f30357b3be5de5ce2fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7165bbb9652b26efd44259791f121c6eb86ca54bd10da01ce4132742729ab151",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-09-06T08:27:04Z",
    "title_canon_sha256": "d3ff270e56a6d46625cbd564c1e4e5a8207acd160c3c0c43833875247d015a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0509136",
    "kind": "arxiv",
    "version": 1
  }
}