Pith Number

pith:EVSDFRQL

pith:2007:EVSDFRQLRHB6UGR2ESUGMLY3WQ

not attested not anchored not stored refs pending

Phase transitions induced by saddle points of vanishing curvature

Michael Kastner, Oliver Schnetz

arxiv:0711.0852 v2 · 2007-11-06 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVSDFRQLRHB6UGR2ESUGMLY3WQ}

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	2026-07-04T15:11:07.607648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

256432c60b89c3ea1a3a24a8662f1bb432ff1d60841743f5ade96269149a2205

Aliases

arxiv: 0711.0852 · arxiv_version: 0711.0852v2 · doi: 10.48550/arxiv.0711.0852 · pith_short_12: EVSDFRQLRHB6 · pith_short_16: EVSDFRQLRHB6UGR2 · pith_short_8: EVSDFRQL

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/EVSDFRQLRHB6UGR2ESUGMLY3WQ \
  | 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: 256432c60b89c3ea1a3a24a8662f1bb432ff1d60841743f5ade96269149a2205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b0ebe0c69bff2591199e5c93bae37474b8696f6224333448613331e18adcca",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-11-06T12:19:10Z",
    "title_canon_sha256": "b105ffbc5828980e8bde6d5a8e17f32687a7d5b041b3173d6b61d4ed623c1768"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.0852",
    "kind": "arxiv",
    "version": 2
  }
}