Pith Number

pith:PYDGFYBG

pith:2011:PYDGFYBGPLSKWT5DAVU6MIZXD3

not attested not anchored not stored refs pending

Boundary Characteristic Point Regularity for Navier-Stokes Equations: Blow-up Scaling and Petrovskii-type Criterion (a Formal Approach)

V. A. Galaktionov, V. Maz'ya

arxiv:1107.2790 v2 · 2011-07-14 · 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{PYDGFYBGPLSKWT5DAVU6MIZXD3}

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	2026-05-18T03:43:27.388268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e0662e0267ae4ab4fa30569e623371ecce08f6d4765302eae306cd090a15dcb

Aliases

arxiv: 1107.2790 · arxiv_version: 1107.2790v2 · doi: 10.48550/arxiv.1107.2790 · pith_short_12: PYDGFYBGPLSK · pith_short_16: PYDGFYBGPLSKWT5D · pith_short_8: PYDGFYBG

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/PYDGFYBGPLSKWT5DAVU6MIZXD3 \
  | 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: 7e0662e0267ae4ab4fa30569e623371ecce08f6d4765302eae306cd090a15dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d46a6e96e3cd86c94228929b29ea7b7818fc3debc8ee27aa7643cee3f89348b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-14T11:30:29Z",
    "title_canon_sha256": "e7514170e1d0b48642ef979a0c45d3aef95678c31f0763283d9e83b66006d3c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2790",
    "kind": "arxiv",
    "version": 2
  }
}