Pith Number

pith:RAAHGVGL

pith:2011:RAAHGVGLLOM37Z5MDVZJQTBWUM

not attested not anchored not stored refs pending

Blow up criterion for compressible nematic liquid crystal flows in dimension three

Changyou Wang, Huanyao Wen, Tao Huang

arxiv:1104.5685 v1 · 2011-04-29 · 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{RAAHGVGLLOM37Z5MDVZJQTBWUM}

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	2026-05-18T00:56:57.921926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88007354cb5b99bfe7ac1d72984c36a31c4fd3579792e7cf602584516b05e786

Aliases

arxiv: 1104.5685 · arxiv_version: 1104.5685v1 · doi: 10.48550/arxiv.1104.5685 · pith_short_12: RAAHGVGLLOM3 · pith_short_16: RAAHGVGLLOM37Z5M · pith_short_8: RAAHGVGL

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/RAAHGVGLLOM37Z5MDVZJQTBWUM \
  | 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: 88007354cb5b99bfe7ac1d72984c36a31c4fd3579792e7cf602584516b05e786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fa20d4c58fb8603e76cd290b6e2f28a40861ec911e9815b4c5125869e7bcc53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-29T17:31:09Z",
    "title_canon_sha256": "fa7eac9c0dd74d132fba999d03c32ce432bd7a422e86eab799fc0788e5e3552c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5685",
    "kind": "arxiv",
    "version": 1
  }
}