Pith Number

pith:3JDKELK4

pith:2012:3JDKELK4N2SI4E2WV4N2OKB2J2

not attested not anchored not stored refs pending

On the existence of solutions to the planar exterior Navier Stokes system

Matthieu Hillairet (CEREMADE), Peter Wittwer

arxiv:1207.3779 v1 · 2012-07-16 · 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{3JDKELK4N2SI4E2WV4N2OKB2J2}

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	2026-05-18T03:50:59.500610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da46a22d5c6ea48e1356af1ba7283a4e874c43b70c804181587940ae0ca48315

Aliases

arxiv: 1207.3779 · arxiv_version: 1207.3779v1 · doi: 10.48550/arxiv.1207.3779 · pith_short_12: 3JDKELK4N2SI · pith_short_16: 3JDKELK4N2SI4E2W · pith_short_8: 3JDKELK4

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/3JDKELK4N2SI4E2WV4N2OKB2J2 \
  | 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: da46a22d5c6ea48e1356af1ba7283a4e874c43b70c804181587940ae0ca48315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f7cc5374cdcb48660ff3d008f25dd0e4d357f7c3cc779c7a48ae03bf88c269f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-07-16T19:41:21Z",
    "title_canon_sha256": "6b92f9d3f56ec0e60e4f331abe2c4ff6b420dd29c6912479faf9381b7026c9b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3779",
    "kind": "arxiv",
    "version": 1
  }
}