Pith Number

pith:N4JIP5HG

pith:2015:N4JIP5HGAYBV4HW25RZFRBW3UC

not attested not anchored not stored refs pending

The Coulomb potential V(r)=1/r and other radial problems on the Bethe lattice

Olga Petrova, Roderich Moessner

arxiv:1510.01138 v1 · 2015-10-05 · cond-mat.stat-mech · cond-mat.dis-nn · 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{N4JIP5HGAYBV4HW25RZFRBW3UC}

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	2026-05-18T01:22:35.731886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1287f4e606035e1edaec725886dba0b90e13612b6dc33d37619b4b97a9e6ec

Aliases

arxiv: 1510.01138 · arxiv_version: 1510.01138v1 · doi: 10.48550/arxiv.1510.01138 · pith_short_12: N4JIP5HGAYBV · pith_short_16: N4JIP5HGAYBV4HW2 · pith_short_8: N4JIP5HG

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/N4JIP5HGAYBV4HW25RZFRBW3UC \
  | 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: 6f1287f4e606035e1edaec725886dba0b90e13612b6dc33d37619b4b97a9e6ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf46fe6fbd20b8d3dab80ac975c10c4ecc392b7a05123492435a535634025dfa",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-10-05T13:17:51Z",
    "title_canon_sha256": "8dbb23841d16c04317f986653d7813741e404a9f99807238d7c4242985cdcf17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01138",
    "kind": "arxiv",
    "version": 1
  }
}