Pith Number

pith:YCN4CR6P

pith:2014:YCN4CR6PBGWM7JUDH2F6GXSKQM

not attested not anchored not stored refs pending

Constrained Optimization for Liquid Crystal Equilibria: Extended Results

D. B. Emerson, J. H. Adler, S. P. MacLachlan, T. A. Manteuffel

arxiv:1412.8056 v2 · 2014-12-27 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCN4CR6PBGWM7JUDH2F6GXSKQM}

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	2026-05-18T02:30:17.379385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09bc147cf09accfa6833e8be35e4a830114119f94950f8f16d77a696035a209

Aliases

arxiv: 1412.8056 · arxiv_version: 1412.8056v2 · doi: 10.48550/arxiv.1412.8056 · pith_short_12: YCN4CR6PBGWM · pith_short_16: YCN4CR6PBGWM7JUD · pith_short_8: YCN4CR6P

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/YCN4CR6PBGWM7JUDH2F6GXSKQM \
  | 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: c09bc147cf09accfa6833e8be35e4a830114119f94950f8f16d77a696035a209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc8191dc0abc5b597112b3d3ebdb48d97b98021f3fac08154518c9c722ae42c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2014-12-27T15:07:17Z",
    "title_canon_sha256": "3447a41350a1e83b9a2710e6cf4fd724a4781b6f26c18c447afd1712fc9a1558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8056",
    "kind": "arxiv",
    "version": 2
  }
}