Pith Number

pith:BU3ZIHB7

pith:2014:BU3ZIHB7WQOMHNZEJFZZG57RC6

not attested not anchored not stored refs pending

Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction

Bruno Volzone, Daniele Castorina, Jos\'e Antonio Carrillo

arxiv:1401.0812 v2 · 2014-01-04 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BU3ZIHB7WQOMHNZEJFZZG57RC6}

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	2026-05-18T00:39:07.385863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d37941c3fb41cc3b72449739377f117b29e387901bd81cdd9bf270da88e5781

Aliases

arxiv: 1401.0812 · arxiv_version: 1401.0812v2 · doi: 10.48550/arxiv.1401.0812 · pith_short_12: BU3ZIHB7WQOM · pith_short_16: BU3ZIHB7WQOMHNZE · pith_short_8: BU3ZIHB7

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/BU3ZIHB7WQOMHNZEJFZZG57RC6 \
  | 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: 0d37941c3fb41cc3b72449739377f117b29e387901bd81cdd9bf270da88e5781

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "758efac0619d1045abbd7bfba42b8e8b75daa14e2ec008150f79b2b1828cc59a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-01-04T13:45:52Z",
    "title_canon_sha256": "e0c427a13944cbfa7f5c67030731412e5811b4d0ddf8eccd10648594b4c20d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.0812",
    "kind": "arxiv",
    "version": 2
  }
}