Pith Number

pith:YMIINK2V

pith:2013:YMIINK2VNLLRF4IADUOEBXXDXG

not attested not anchored not stored refs pending

Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie theory

Pingwen Zhang, Wei Wang, Zhifei Zhang

arxiv:1307.0986 v1 · 2013-07-03 · 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{YMIINK2VNLLRF4IADUOEBXXDXG}

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	2026-05-18T03:19:23.553296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c31086ab556ad712f1001d1c40dee3b9982b93ed3a314d24959342db3c11734c

Aliases

arxiv: 1307.0986 · arxiv_version: 1307.0986v1 · doi: 10.48550/arxiv.1307.0986 · pith_short_12: YMIINK2VNLLR · pith_short_16: YMIINK2VNLLRF4IA · pith_short_8: YMIINK2V

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/YMIINK2VNLLRF4IADUOEBXXDXG \
  | 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: c31086ab556ad712f1001d1c40dee3b9982b93ed3a314d24959342db3c11734c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7be98d132eb17dc89a94e263799c238d3d4f66a7109da43e07b5780e118d2f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-03T12:19:18Z",
    "title_canon_sha256": "c03ac57893380d3457423c04c0939e397ede063ea008c478234ad39c2b6e4fef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0986",
    "kind": "arxiv",
    "version": 1
  }
}