Pith Number

pith:SAPS4544

pith:2013:SAPS4544TQ53D7BVJSH6LWCFLA

not attested not anchored not stored refs pending

From microscopic theory to macroscopic theory: a systematic study on static modeling for liquid crystals

Jiequn Han, Pingwen Zhang, Wei Wang, Yi Luo

arxiv:1305.4889 v1 · 2013-05-21 · math.AP · 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{SAPS4544TQ53D7BVJSH6LWCFLA}

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	2026-05-18T01:49:48.313616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

901f2e779c9c3bb1fc354c8fe5d84558095e36342ce5125fa20ffeda13a25ae3

Aliases

arxiv: 1305.4889 · arxiv_version: 1305.4889v1 · doi: 10.48550/arxiv.1305.4889 · pith_short_12: SAPS4544TQ53 · pith_short_16: SAPS4544TQ53D7BV · pith_short_8: SAPS4544

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/SAPS4544TQ53D7BVJSH6LWCFLA \
  | 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: 901f2e779c9c3bb1fc354c8fe5d84558095e36342ce5125fa20ffeda13a25ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67fe3cdd273018b47f0bd721ee09d08858545deb2736dafba482af9e3a8cf907",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-21T17:15:30Z",
    "title_canon_sha256": "91e89ee2b364d1b9bcfdfe91a689165a6e94b913174acb5169cecd9a0e21c8d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4889",
    "kind": "arxiv",
    "version": 1
  }
}