Pith Number

pith:3PFA2XW5

pith:2001:3PFA2XW5CWKD2TSEL7RKQ55F2J

not attested not anchored not stored refs pending

Thermal concurrence mixing in a 1D Ising model

D. Gunlycke, S. Bose, V. M. Kendon, V. Vedral

arxiv:quant-ph/0102137 v2 · 2001-02-27 · quant-ph · cond-mat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PFA2XW5CWKD2TSEL7RKQ55F2J}

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	2026-07-04T16:28:55.123160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbca0d5edd15943d4e445fe2a877a5d24ef96cddacf9bfe213d2659edfb11f4e

Aliases

arxiv: quant-ph/0102137 · arxiv_version: quant-ph/0102137v2 · doi: 10.48550/arxiv.quant-ph/0102137 · pith_short_12: 3PFA2XW5CWKD · pith_short_16: 3PFA2XW5CWKD2TSE · pith_short_8: 3PFA2XW5

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/3PFA2XW5CWKD2TSEL7RKQ55F2J \
  | 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: dbca0d5edd15943d4e445fe2a877a5d24ef96cddacf9bfe213d2659edfb11f4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "029cefb1032ad7748dcdb08473e49afef28370614c5aff1bf54d50266744e1fa",
    "cross_cats_sorted": [
      "cond-mat"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-02-27T17:51:32Z",
    "title_canon_sha256": "a53bb627a6e145604a7f362bdc7591d68331d488606e5dec60eb4c7809f5f0c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0102137",
    "kind": "arxiv",
    "version": 2
  }
}