Pith Number

pith:IPV5BV67

pith:2012:IPV5BV676WCHNBHHUSYF3IHWJE

not attested not anchored not stored refs pending

Global Low-Energy Weak Solution and Large-Time Behavior for the Compressible Flow of Liquid Crystals

Guochun Wu, Zhong Tan

arxiv:1210.1269 v1 · 2012-10-04 · 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{IPV5BV676WCHNBHHUSYF3IHWJE}

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	2026-05-18T03:44:04.951278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43ebd0d7dff5847684e7a4b05da0f649331bd5c9e57b1776d2210714d0c40b0f

Aliases

arxiv: 1210.1269 · arxiv_version: 1210.1269v1 · doi: 10.48550/arxiv.1210.1269 · pith_short_12: IPV5BV676WCH · pith_short_16: IPV5BV676WCHNBHH · pith_short_8: IPV5BV67

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/IPV5BV676WCHNBHHUSYF3IHWJE \
  | 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: 43ebd0d7dff5847684e7a4b05da0f649331bd5c9e57b1776d2210714d0c40b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08522beb9bdac878c03e205e27904673cb2276572c7705cc263c1f08d8c73e34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-04T00:17:59Z",
    "title_canon_sha256": "972a9a5afdba531f3d9ea4bb55f73975760f349cf24d6b1fda02d63556f5f865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1269",
    "kind": "arxiv",
    "version": 1
  }
}