Pith Number

pith:DKYBAZG7

pith:2012:DKYBAZG7EBOO5SK7BAWSS3T7XN

not attested not anchored not stored refs pending

Froth-like minimizers of a non local free energy functional with competing interactions

Alessandro Giuliani, Paolo Butt\`a, Raffaele Esposito, Rossana Marra

arxiv:1206.3846 v1 · 2012-06-18 · 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{DKYBAZG7EBOO5SK7BAWSS3T7XN}

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	2026-05-18T01:20:56.302907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ab01064df205ceec95f082d296e7fbb7f678ef72c06f3056314885f05b4c259

Aliases

arxiv: 1206.3846 · arxiv_version: 1206.3846v1 · doi: 10.48550/arxiv.1206.3846 · pith_short_12: DKYBAZG7EBOO · pith_short_16: DKYBAZG7EBOO5SK7 · pith_short_8: DKYBAZG7

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/DKYBAZG7EBOO5SK7BAWSS3T7XN \
  | 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: 1ab01064df205ceec95f082d296e7fbb7f678ef72c06f3056314885f05b4c259

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74448fe3e1834c5bfb7d9b96c3d5b67c8468d1daa76101b1b3f6a19d8de781da",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-18T08:07:17Z",
    "title_canon_sha256": "3a490dc95b193ebf14ea14332d1d3be4a0312ebfa2e969ba98f9867120b443b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3846",
    "kind": "arxiv",
    "version": 1
  }
}