Pith Number

pith:L4XN73CU

pith:2014:L4XN73CUGZQMYENVWAZSPCOYPT

not attested not anchored not stored refs pending

Critical points and symmetries of a free energy function for biaxial nematic liquid crystals

David Chillingworth

arxiv:1401.6402 v1 · 2014-01-24 · 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{L4XN73CUGZQMYENVWAZSPCOYPT}

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	2026-05-18T01:45:17.063992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f2edfec543660cc11b5b0332789d87ccbb916fb698db4a9c2d7d31c401a981e

Aliases

arxiv: 1401.6402 · arxiv_version: 1401.6402v1 · doi: 10.48550/arxiv.1401.6402 · pith_short_12: L4XN73CUGZQM · pith_short_16: L4XN73CUGZQMYENV · pith_short_8: L4XN73CU

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/L4XN73CUGZQMYENVWAZSPCOYPT \
  | 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: 5f2edfec543660cc11b5b0332789d87ccbb916fb698db4a9c2d7d31c401a981e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aaeb9e78cf77c3d67f29fa4c3359b3eb896d49377052e8782cce506459e66d2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-24T17:05:39Z",
    "title_canon_sha256": "03e28d448b19bd4bdf28b857c55c2a6e8e272e67e03dcedba523dc469b6a87c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6402",
    "kind": "arxiv",
    "version": 1
  }
}