Pith Number

pith:FPQW2YQH

pith:2008:FPQW2YQHQT2APRP3PJHRJWFB5T

not attested not anchored not stored refs pending

Global well-posedness of incompressible flow in porous media with critical diffusion in Besov spaces

Baoquan Yuan, Jia Yuan

arxiv:0808.3051 v1 · 2008-08-22 · 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{FPQW2YQHQT2APRP3PJHRJWFB5T}

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	2026-05-18T01:26:11.374148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2be16d620784f407c5fb7a4f14d8a1ecf7473b352a2ee5b1c8f99465b16cbc7a

Aliases

arxiv: 0808.3051 · arxiv_version: 0808.3051v1 · doi: 10.48550/arxiv.0808.3051 · pith_short_12: FPQW2YQHQT2A · pith_short_16: FPQW2YQHQT2APRP3 · pith_short_8: FPQW2YQH

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/FPQW2YQHQT2APRP3PJHRJWFB5T \
  | 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: 2be16d620784f407c5fb7a4f14d8a1ecf7473b352a2ee5b1c8f99465b16cbc7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fccd523583f53884548b62de138abf478cf7754c584e0dce250b183527a0f61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-08-22T09:56:30Z",
    "title_canon_sha256": "f7566ecd8e87b42bcfd42453f394b9a0358380220769e95fa793e7c623c72e0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.3051",
    "kind": "arxiv",
    "version": 1
  }
}