Pith Number

pith:GLKFDLNI

pith:2014:GLKFDLNI5BVX4VTVIUCJZSNHXY

not attested not anchored not stored refs pending

On the temporal decay of solutions to the two-dimensional nematic liquid crystal flows

Qiao Liu

arxiv:1409.8475 v1 · 2014-09-30 · 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{GLKFDLNI5BVX4VTVIUCJZSNHXY}

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	2026-05-18T02:41:25.285591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d451ada8e86b7e567545049cc9a7be27b625d5777ad77e779e182901d175b6

Aliases

arxiv: 1409.8475 · arxiv_version: 1409.8475v1 · doi: 10.48550/arxiv.1409.8475 · pith_short_12: GLKFDLNI5BVX · pith_short_16: GLKFDLNI5BVX4VTV · pith_short_8: GLKFDLNI

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/GLKFDLNI5BVX4VTVIUCJZSNHXY \
  | 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: 32d451ada8e86b7e567545049cc9a7be27b625d5777ad77e779e182901d175b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af5d07f26a2d1a71224fffc6f5aeaa7b1ee833eed2b193145bff22856588e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-09-30T10:51:39Z",
    "title_canon_sha256": "f6d87c21166cf2298fbe62a7739ac72e49546345eda9eb102007499bdb713d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.8475",
    "kind": "arxiv",
    "version": 1
  }
}