Pith Number

pith:B2BUZ7XW

pith:2010:B2BUZ7XWWF2QO3NC7KDB2YBAT6

not attested not anchored not stored refs pending

Orientability and energy minimization in liquid crystal models

Arghir Zarnescu, John M. Ball

arxiv:1009.2688 v1 · 2010-09-14 · math.AP · cond-mat.soft · 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{B2BUZ7XWWF2QO3NC7KDB2YBAT6}

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	2026-05-18T02:05:30.609953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e834cfef6b175076da2fa861d60209f804c1588765085d6a1c049e76e305257

Aliases

arxiv: 1009.2688 · arxiv_version: 1009.2688v1 · doi: 10.48550/arxiv.1009.2688 · pith_short_12: B2BUZ7XWWF2Q · pith_short_16: B2BUZ7XWWF2QO3NC · pith_short_8: B2BUZ7XW

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/B2BUZ7XWWF2QO3NC7KDB2YBAT6 \
  | 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: 0e834cfef6b175076da2fa861d60209f804c1588765085d6a1c049e76e305257

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17c3858eb60d709af402e9d634114e1402ed2c1dab43f3d0678c36e32e24dfee",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-14T15:11:26Z",
    "title_canon_sha256": "f01d45a8d45727eca43844c920e847b499b932db8a4fe7a19f471ebec91534ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2688",
    "kind": "arxiv",
    "version": 1
  }
}