Pith Number

pith:ZOIYTYJN

pith:2020:ZOIYTYJNNTIDGEP6UGDRYFKDFX

not attested not anchored not stored refs pending

Entropy inequality and energy dissipation of inertial Qian-Sheng model for nematic liquid crystals

Ning Jiang, Shaojun Tang, Yangjun Ma, Yi-Long Luo

arxiv:2012.07326 v2 · 2020-12-14 · 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{ZOIYTYJNNTIDGEP6UGDRYFKDFX}

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	2026-07-05T02:54:29.843960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9189e12d6cd03311fea1871c15432dcab7ae200bb21c343b33a20623df2ccc

Aliases

arxiv: 2012.07326 · arxiv_version: 2012.07326v2 · doi: 10.48550/arxiv.2012.07326 · pith_short_12: ZOIYTYJNNTID · pith_short_16: ZOIYTYJNNTIDGEP6 · pith_short_8: ZOIYTYJN

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/ZOIYTYJNNTIDGEP6UGDRYFKDFX \
  | 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: cb9189e12d6cd03311fea1871c15432dcab7ae200bb21c343b33a20623df2ccc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18a7cb06908eb1eedc5e7cd5f1f3558dceafaac9cd67b3b4a0355728bcaf23b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-12-14T08:20:43Z",
    "title_canon_sha256": "a691dc87fdfae2db478433867f45688a044d172b8a8fa4288d911eedd15725df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07326",
    "kind": "arxiv",
    "version": 2
  }
}