Pith Number

pith:I3UXNPJG

pith:2012:I3UXNPJGQLO57ZZEOINLQJBMM4

not attested not anchored not stored refs pending

Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals

Hao Wu, Xianpeng Hu

arxiv:1202.4512 v2 · 2012-02-21 · 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{I3UXNPJGQLO57ZZEOINLQJBMM4}

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	2026-05-18T03:19:57.015587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46e976bd2682dddfe724721ab8242c6730dfea95e72ca6f50dfd46d88622f207

Aliases

arxiv: 1202.4512 · arxiv_version: 1202.4512v2 · doi: 10.48550/arxiv.1202.4512 · pith_short_12: I3UXNPJGQLO5 · pith_short_16: I3UXNPJGQLO57ZZE · pith_short_8: I3UXNPJG

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/I3UXNPJGQLO57ZZEOINLQJBMM4 \
  | 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: 46e976bd2682dddfe724721ab8242c6730dfea95e72ca6f50dfd46d88622f207

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f7af5f80bcd056165b0faec75273ff494c135263381ef8ba525aec8e6957bec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-21T02:05:14Z",
    "title_canon_sha256": "3527f073ff9aea1b89036f56427984690979f1cbaa1053f8796056e103d2cbf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4512",
    "kind": "arxiv",
    "version": 2
  }
}