Pith Number

pith:RAXJOAZ3

pith:2016:RAXJOAZ3OXRSHL6U2F5RFPF2XJ

not attested not anchored not stored refs pending

Critical parameter of random loop model on trees

Daniel Ueltschi, Jakob E. Bj\"ornberg

arxiv:1608.08473 v4 · 2016-08-30 · math.PR · 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{RAXJOAZ3OXRSHL6U2F5RFPF2XJ}

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	2026-05-18T00:08:31.596808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

882e97033b75e323afd4d17b12bcbaba6295283f5ac2685ecd2736c98ad8b333

Aliases

arxiv: 1608.08473 · arxiv_version: 1608.08473v4 · doi: 10.48550/arxiv.1608.08473 · pith_short_12: RAXJOAZ3OXRS · pith_short_16: RAXJOAZ3OXRSHL6U · pith_short_8: RAXJOAZ3

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/RAXJOAZ3OXRSHL6U2F5RFPF2XJ \
  | 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: 882e97033b75e323afd4d17b12bcbaba6295283f5ac2685ecd2736c98ad8b333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65f38e66c8d662fc53c699b78f30fd23b37a7a9f4ae1aa26328f1e91d816069d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-08-30T14:33:57Z",
    "title_canon_sha256": "88401915873f60b13454adcd60d6ba08dd87b3daec5919c334f5e6c51e28a9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08473",
    "kind": "arxiv",
    "version": 4
  }
}