Pith Number

pith:YRKQX7SQ

pith:2023:YRKQX7SQCVJY2SSTPGFV3R467L

not attested not anchored not stored refs pending

Ising model on a Galton-Watson tree with a sparse random external field

Irene Ayuso Ventura, Quentin Berger

arxiv:2310.09169 v2 · 2023-10-13 · 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{YRKQX7SQCVJY2SSTPGFV3R467L}

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.

Cited by

1 paper in Pith

Vis-CoT: A Human-in-the-Loop Framework for Interactive Visualization and Intervention in LLM Chain-of-Thought Reasoning

Receipt and verification

First computed	2026-07-05T09:24:31.555007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4550bfe5015538d4a53798b5dc79efae1f49772393f836a30437c12a443d101

Aliases

arxiv: 2310.09169 · arxiv_version: 2310.09169v2 · doi: 10.48550/arxiv.2310.09169 · pith_short_12: YRKQX7SQCVJY · pith_short_16: YRKQX7SQCVJY2SST · pith_short_8: YRKQX7SQ

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/YRKQX7SQCVJY2SSTPGFV3R467L \
  | 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: c4550bfe5015538d4a53798b5dc79efae1f49772393f836a30437c12a443d101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42b93e9e4a8904aafc97b0079cb8fa81117c25f428a871ad759f1ef4bc5e853d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-13T15:03:16Z",
    "title_canon_sha256": "b33b79106193640f20975b1097d2db9d9947d305c3a2678c469fd16b6a0d8268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.09169",
    "kind": "arxiv",
    "version": 2
  }
}