Pith Number

pith:RKXCLMW3

pith:2018:RKXCLMW3EASX2R4EUYTZMR4AIP

not attested not anchored not stored refs pending

Critical temperature of Heisenberg models on regular trees, via random loops

Daniel Ueltschi, Jakob E. Bj\"ornberg

arxiv:1803.11430 v2 · 2018-03-30 · math-ph · cond-mat.stat-mech · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RKXCLMW3EASX2R4EUYTZMR4AIP}

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	2026-05-18T00:00:02.200411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aae25b2db20257d4784a62796478043f1d3e81cf8965686cb4a85b05b2cfe58

Aliases

arxiv: 1803.11430 · arxiv_version: 1803.11430v2 · doi: 10.48550/arxiv.1803.11430 · pith_short_12: RKXCLMW3EASX · pith_short_16: RKXCLMW3EASX2R4E · pith_short_8: RKXCLMW3

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/RKXCLMW3EASX2R4EUYTZMR4AIP \
  | 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: 8aae25b2db20257d4784a62796478043f1d3e81cf8965686cb4a85b05b2cfe58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "452fcbe252cd478bd570bba63b5de5bf6e156df883cffb470b0a78084115b6af",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-03-30T12:13:44Z",
    "title_canon_sha256": "c25472ffc6cb3a5d5980b10109177e52ffd1319c4f2f1e34e4f09e2493ac4932"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11430",
    "kind": "arxiv",
    "version": 2
  }
}