Pith Number

pith:APLJVFRZ

pith:2010:APLJVFRZR3TRNFU5WEKF7L6BKQ

not attested not anchored not stored refs pending

Stationary point approach to the phase transition of the classical XY chain with power-law interactions

Michael Kastner

arxiv:1011.5050 v2 · 2010-11-23 · 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{APLJVFRZR3TRNFU5WEKF7L6BKQ}

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	2026-05-18T04:26:32.807875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03d69a96398ee716969db1145fafc15429006455c1061dbf1fb001da76b270b3

Aliases

arxiv: 1011.5050 · arxiv_version: 1011.5050v2 · doi: 10.48550/arxiv.1011.5050 · pith_short_12: APLJVFRZR3TR · pith_short_16: APLJVFRZR3TRNFU5 · pith_short_8: APLJVFRZ

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/APLJVFRZR3TRNFU5WEKF7L6BKQ \
  | 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: 03d69a96398ee716969db1145fafc15429006455c1061dbf1fb001da76b270b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e22e946693b166d578c6a661ff1cb14812c92512173bc59df8907ae30f6bbcb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-11-23T10:32:43Z",
    "title_canon_sha256": "8148193d7962efdb9df53580aa98a634c464810d802589197b0a0f1f39dd5f15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5050",
    "kind": "arxiv",
    "version": 2
  }
}