Pith Number

pith:FPBOV5JS

pith:2015:FPBOV5JS3I4T77HHLDNHRUEQM5

not attested not anchored not stored refs pending

Global Existence and Regularity for the Active Liquid Crystal System

Apala Majumdar, Dehua Wang, Gui-Qiang Chen, Rongfang Zhang

arxiv:1509.02608 v2 · 2015-09-09 · 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{FPBOV5JS3I4T77HHLDNHRUEQM5}

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	2026-05-18T00:52:28.492379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc2eaf532da393ffce758da78d09067480b596df86edc8b7a8416a5e2dbdc05

Aliases

arxiv: 1509.02608 · arxiv_version: 1509.02608v2 · doi: 10.48550/arxiv.1509.02608 · pith_short_12: FPBOV5JS3I4T · pith_short_16: FPBOV5JS3I4T77HH · pith_short_8: FPBOV5JS

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/FPBOV5JS3I4T77HHLDNHRUEQM5 \
  | 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: 2bc2eaf532da393ffce758da78d09067480b596df86edc8b7a8416a5e2dbdc05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0efa217128ac560ef06f5d3e0e74693c64097fe40399460f4350227d08f8d14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-09T02:19:23Z",
    "title_canon_sha256": "d8079524280bbd95db9791980c8438113968a68b55f37cf1225da531fe43377a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02608",
    "kind": "arxiv",
    "version": 2
  }
}