Pith Number

pith:HYAMFDJ4

pith:2005:HYAMFDJ4MDZ6L45BNZHJNLLAFQ

not attested not anchored not stored refs pending

Spatial smoothness of the stationary solutions of the 3D Navier--Stokes equations

Cyril Odasso (IRMAR)

arxiv:math/0512057 v2 · 2005-12-02 · math.AP · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYAMFDJ4MDZ6L45BNZHJNLLAFQ}

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	2026-06-03T22:06:18.467779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e00c28d3c60f3e5f3a16e4e96ad602c19732b441f3fb8cfebad5c884cc1ca9a

Aliases

arxiv: math/0512057 · arxiv_version: math/0512057v2 · doi: 10.48550/arxiv.math/0512057 · pith_short_12: HYAMFDJ4MDZ6 · pith_short_16: HYAMFDJ4MDZ6L45B · pith_short_8: HYAMFDJ4

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/HYAMFDJ4MDZ6L45BNZHJNLLAFQ \
  | 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: 3e00c28d3c60f3e5f3a16e4e96ad602c19732b441f3fb8cfebad5c884cc1ca9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6bbde5e0ada6aa6d43d6b984b49f803fdde4f4b30c0e306368087d0e82bbe56",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-12-02T14:52:36Z",
    "title_canon_sha256": "9fbe978c1159cc92b4fc759b93805716693aa9e771f59476f63bfa73de1725f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512057",
    "kind": "arxiv",
    "version": 2
  }
}