Pith Number

pith:SHISLBDS

pith:2012:SHISLBDSYPOBAUCSHY2JNAYEXC

not attested not anchored not stored refs pending

Global existence results for the Navier-Stokes equations in the rotational framework

Bin Han, Daoyuang Fang, Matthias Hieber

arxiv:1205.1561 v1 · 2012-05-08 · 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{SHISLBDSYPOBAUCSHY2JNAYEXC}

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	2026-05-18T03:56:09.942365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91d1258472c3dc1050523e34968304b8a3730be7d209c4bfa37dfb5214d41c70

Aliases

arxiv: 1205.1561 · arxiv_version: 1205.1561v1 · doi: 10.48550/arxiv.1205.1561 · pith_short_12: SHISLBDSYPOB · pith_short_16: SHISLBDSYPOBAUCS · pith_short_8: SHISLBDS

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/SHISLBDSYPOBAUCSHY2JNAYEXC \
  | 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: 91d1258472c3dc1050523e34968304b8a3730be7d209c4bfa37dfb5214d41c70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcacb904f16569ec1340871633962e079da35ba6e51c256289cf681917381d5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-05-08T00:06:02Z",
    "title_canon_sha256": "48b77ec984ef1ed1b48a985f76e0642f0aca74c7aa5443f455eb80ba10c2af5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1561",
    "kind": "arxiv",
    "version": 1
  }
}