Pith Number

pith:JIULFZGD

pith:2018:JIULFZGDRGRLDHZ3J63HKLZLHM

not attested not anchored not stored refs pending

The one-dimensional log-gas free energy has a unique minimiser

Martin Huesmann, Matthias Erbar, Thomas Lebl\'e

arxiv:1812.06929 v1 · 2018-12-17 · 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{JIULFZGDRGRLDHZ3J63HKLZLHM}

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	2026-05-17T23:58:09.100103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a28b2e4c389a2b19f3b4fb6752f2b3b35cd81f8659ec5722bc69c6590797dbc

Aliases

arxiv: 1812.06929 · arxiv_version: 1812.06929v1 · doi: 10.48550/arxiv.1812.06929 · pith_short_12: JIULFZGDRGRL · pith_short_16: JIULFZGDRGRLDHZ3 · pith_short_8: JIULFZGD

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/JIULFZGDRGRLDHZ3J63HKLZLHM \
  | 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: 4a28b2e4c389a2b19f3b4fb6752f2b3b35cd81f8659ec5722bc69c6590797dbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93c6f747abe862fbc67650d5f65ac934e45c8b480d1df4bbccf1fba1c3e186d5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-17T18:07:52Z",
    "title_canon_sha256": "92586e3e3bfae9d011732cecc30f3c6b1bfa38ad15bbbd04da64c3a704b67ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06929",
    "kind": "arxiv",
    "version": 1
  }
}