Pith Number

pith:S7KMWRYE

pith:2010:S7KMWRYEMRIX6UMME7JDAHIDIP

not attested not anchored not stored refs pending

Refined approximation for a class of Landau-de Gennes energy minimizers

Arghir Zarnescu, Luc Nguyen

arxiv:1006.5689 v1 · 2010-06-29 · 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{S7KMWRYEMRIX6UMME7JDAHIDIP}

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	2026-05-18T02:40:19.044535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97d4cb470464517f518c27d2301d0343dbb98f457e82fd9ccf9f59fa820dc298

Aliases

arxiv: 1006.5689 · arxiv_version: 1006.5689v1 · doi: 10.48550/arxiv.1006.5689 · pith_short_12: S7KMWRYEMRIX · pith_short_16: S7KMWRYEMRIX6UMM · pith_short_8: S7KMWRYE

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/S7KMWRYEMRIX6UMME7JDAHIDIP \
  | 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: 97d4cb470464517f518c27d2301d0343dbb98f457e82fd9ccf9f59fa820dc298

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "408c1d1f1eef9e56da74e3eff5675f8f8846f8f39c1500c3dbc570047ab456a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-29T17:52:04Z",
    "title_canon_sha256": "35d46ac55cbfcb5dfb2db111b0d8b2d8f0daf456ea53eeff9aec50b41f560ef6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5689",
    "kind": "arxiv",
    "version": 1
  }
}