Pith Number

pith:AQ5KTM3G

pith:2011:AQ5KTM3GGMI2HYXKEKODJRJEIQ

not attested not anchored not stored refs pending

A Blow-up Criterion for Two Dimensional Compressible Viscous Heat-Conductive Flows

Daoyuan Fang, Ruizhao Zi, Ting Zhang

arxiv:1107.4663 v1 · 2011-07-23 · 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{AQ5KTM3GGMI2HYXKEKODJRJEIQ}

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	2026-05-18T04:17:02.089181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

043aa9b3663311a3e2ea229c34c524442172ee21a1e3bfaebffccd6dfb21001c

Aliases

arxiv: 1107.4663 · arxiv_version: 1107.4663v1 · doi: 10.48550/arxiv.1107.4663 · pith_short_12: AQ5KTM3GGMI2 · pith_short_16: AQ5KTM3GGMI2HYXK · pith_short_8: AQ5KTM3G

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/AQ5KTM3GGMI2HYXKEKODJRJEIQ \
  | 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: 043aa9b3663311a3e2ea229c34c524442172ee21a1e3bfaebffccd6dfb21001c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef68983ff7119fe78be9bf8e9592d73e226052a1a9c8c0f2ec8840f4294e154e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-23T07:23:35Z",
    "title_canon_sha256": "f30e97b2d32bdecbf8afb586afb09b60f68ec415a8a4d5ec5e956125573d09dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4663",
    "kind": "arxiv",
    "version": 1
  }
}