Pith Number

pith:BQVTHRWL

pith:2007:BQVTHRWL24P4DMXCMG5HULGCP5

not attested not anchored not stored refs pending

Global Existence Theorem for the Solutions of 3d Navier-Stokes System on T3 for small initial data from the space P(a)

M. D. Arnold, Ya. G. Sinai

arxiv:0710.3842 v1 · 2007-10-20 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQVTHRWL24P4DMXCMG5HULGCP5}

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	2026-05-18T03:20:36.083894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c2b33c6cbd71fc1b2e261ba7a2cc27f51e1c0fe180f4cb352434bd6a903d05a

Aliases

arxiv: 0710.3842 · arxiv_version: 0710.3842v1 · doi: 10.48550/arxiv.0710.3842 · pith_short_12: BQVTHRWL24P4 · pith_short_16: BQVTHRWL24P4DMXC · pith_short_8: BQVTHRWL

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/BQVTHRWL24P4DMXCMG5HULGCP5 \
  | 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: 0c2b33c6cbd71fc1b2e261ba7a2cc27f51e1c0fe180f4cb352434bd6a903d05a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581df53bfab8e79c79bf7eef21c16bcab3aca95f7baa217e43691e37955fefd9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-10-20T13:42:14Z",
    "title_canon_sha256": "4cb31eb1fdb968b4746ec67bb94ff6f8ec301cb9eba2d1bce4d75db8ffee99fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3842",
    "kind": "arxiv",
    "version": 1
  }
}