Pith Number

pith:XLCYZSYI

pith:2025:XLCYZSYIC4GPZJFC2SUJ2RU77B

not attested not anchored not stored refs pending

The one-dimensional equilibrium shape of a crystal

Emanuel Indrei

arxiv:2501.07900 v1 · 2025-01-14 · math-ph · math.AP · math.CA · math.DG · 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{XLCYZSYIC4GPZJFC2SUJ2RU77B}

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

Free energy minimizers with radial densities: classification and quantitative stability

Receipt and verification

First computed	2026-07-05T10:00:52.322587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bac58ccb08170cfca4a2d4a89d469ff876424ba69ec4272b2cc2c7be78831c15

Aliases

arxiv: 2501.07900 · arxiv_version: 2501.07900v1 · doi: 10.48550/arxiv.2501.07900 · pith_short_12: XLCYZSYIC4GP · pith_short_16: XLCYZSYIC4GPZJFC · pith_short_8: XLCYZSYI

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/XLCYZSYIC4GPZJFC2SUJ2RU77B \
  | 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: bac58ccb08170cfca4a2d4a89d469ff876424ba69ec4272b2cc2c7be78831c15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56fbfdd9ca176e56cee19fd289a3d1f7c3005a3a05098d22a653c6c05b340931",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-14T07:30:54Z",
    "title_canon_sha256": "8451e027d5253e6532472d1895d6f6e970a03f2ce53ebaea8c3106288b8e5430"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07900",
    "kind": "arxiv",
    "version": 1
  }
}