Pith Number

pith:U36VTUOQ

pith:2015:U36VTUOQEAC7XC56STVCEAQFIN

not attested not anchored not stored refs pending

Minimizers of the Landau-de Gennes energy around a spherical colloid particle

Lia Bronsard, Stan Alama, Xavier Lamy

arxiv:1504.00421 v2 · 2015-04-02 · math.AP · 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{U36VTUOQEAC7XC56STVCEAQFIN}

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	2026-05-18T01:14:09.166485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6fd59d1d02005fb8bbe94ea220205435a7533dc6add1eb1e78781214ad29cac

Aliases

arxiv: 1504.00421 · arxiv_version: 1504.00421v2 · doi: 10.48550/arxiv.1504.00421 · pith_short_12: U36VTUOQEAC7 · pith_short_16: U36VTUOQEAC7XC56 · pith_short_8: U36VTUOQ

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/U36VTUOQEAC7XC56STVCEAQFIN \
  | 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: a6fd59d1d02005fb8bbe94ea220205435a7533dc6add1eb1e78781214ad29cac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95ef8a8fbc89f2f53ae8750d6f4853f1350b5d0fa2bb76323144e34ac6ffd2e4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-02T00:53:39Z",
    "title_canon_sha256": "134046dd0de89ad2f96e041165cfc66e6e90797c63d4ed7742b812019db1b8f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00421",
    "kind": "arxiv",
    "version": 2
  }
}