Pith Number

pith:2UIE2NWG

pith:2025:2UIE2NWGFFF3X6MCDR3CXVBGMI

not attested not anchored not stored refs pending

Simple analyticity criteria for repulsive multi-body potentials

Marcus Pappik, Tyler Helmuth, Will Perkins

arxiv:2509.04287 v1 · 2025-09-04 · math-ph · 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{2UIE2NWGFFF3X6MCDR3CXVBGMI}

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

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

Receipt and verification

First computed	2026-07-05T12:04:56.691221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5104d36c6294bbbf9821c762bd4266230c922211759d2f1ee4f17aaaac36c14

Aliases

arxiv: 2509.04287 · arxiv_version: 2509.04287v1 · doi: 10.48550/arxiv.2509.04287 · pith_short_12: 2UIE2NWGFFF3 · pith_short_16: 2UIE2NWGFFF3X6MC · pith_short_8: 2UIE2NWG

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/2UIE2NWGFFF3X6MCDR3CXVBGMI \
  | 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: d5104d36c6294bbbf9821c762bd4266230c922211759d2f1ee4f17aaaac36c14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d3a018f876775faadfc2efe5fdee347af92f24f9fa9ced6c7791a3bd75e7f0",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-09-04T15:00:31Z",
    "title_canon_sha256": "0b78b0caf4588cf16680bea8ae01ad12a2d609fc79e837de68e29dd60f52ca2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.04287",
    "kind": "arxiv",
    "version": 1
  }
}