Pith Number

pith:Q6AHUF2Y

pith:2026:Q6AHUF2YPN5VBNEO7IMKY33HW3

not attested not anchored not stored refs pending

A Multi-Body Dobrushin-Sokal Criterion -- Part II

Jan Philipp Neumann

arxiv:2606.29404 v1 · 2026-06-28 · 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{Q6AHUF2YPN5VBNEO7IMKY33HW3}

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	2026-06-30T01:18:04.967363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87807a17587b7b50b48efa18ac6f67b6cd461f26851bf23a4ff7c0491d461ac2

Aliases

arxiv: 2606.29404 · arxiv_version: 2606.29404v1 · doi: 10.48550/arxiv.2606.29404 · pith_short_12: Q6AHUF2YPN5V · pith_short_16: Q6AHUF2YPN5VBNEO · pith_short_8: Q6AHUF2Y

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/Q6AHUF2YPN5VBNEO7IMKY33HW3 \
  | 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: 87807a17587b7b50b48efa18ac6f67b6cd461f26851bf23a4ff7c0491d461ac2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f4772e3fbe1d64ae8e0bd1e857edb2c5c9aeab2ba1207b31a63d78e4fab3183",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-06-28T13:52:38Z",
    "title_canon_sha256": "d7cbda5470b8f038182398a90028c5429509fd58891292f84c3dace79c947b18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29404",
    "kind": "arxiv",
    "version": 1
  }
}