Pith Number

pith:WZT2EP3Y

pith:2013:WZT2EP3YOYCACRR4BED4QNABTF

not attested not anchored not stored refs pending

From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules

Pingwen Zhang, Wei Wang, Zhifei Zhang

arxiv:1305.4721 v1 · 2013-05-21 · 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{WZT2EP3YOYCACRR4BED4QNABTF}

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.

Cited by

1 paper in Pith

Orientable Surfactants on Thin Liquid Films: A Dynamic Density-Functional Theory Approach

Receipt and verification

First computed	2026-05-18T00:56:51.937496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b667a23f78760401463c0907c83401996654dfc2595fd6a999ae50f037fb7cb8

Aliases

arxiv: 1305.4721 · arxiv_version: 1305.4721v1 · doi: 10.48550/arxiv.1305.4721 · pith_short_12: WZT2EP3YOYCA · pith_short_16: WZT2EP3YOYCACRR4 · pith_short_8: WZT2EP3Y

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/WZT2EP3YOYCACRR4BED4QNABTF \
  | 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: b667a23f78760401463c0907c83401996654dfc2595fd6a999ae50f037fb7cb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98d380ac3c000a07c807d2da50aefea0c3ce1abb28cf5a2449b9c958d44f30d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-05-21T06:11:53Z",
    "title_canon_sha256": "26ad99714e1f6c996174b5512d3846bc780127d08d5ab6b7a9788a2203bd6f4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4721",
    "kind": "arxiv",
    "version": 1
  }
}