Pith Number

pith:MFCSTIKA

pith:2011:MFCSTIKABV4JA6NC25ALEYVFGB

not attested not anchored not stored refs pending

2D turbulence in physical scales of the Navier-Stokes equations

R. Dascaliuc, Z. Grujic

arxiv:1101.2209 v1 · 2011-01-11 · math.AP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFCSTIKABV4JA6NC25ALEYVFGB}

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	2026-05-18T02:22:58.606645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

614529a1400d789079a2d740b262a53068aa89ea1b0e432eb87dadd511eb1404

Aliases

arxiv: 1101.2209 · arxiv_version: 1101.2209v1 · doi: 10.48550/arxiv.1101.2209 · pith_short_12: MFCSTIKABV4J · pith_short_16: MFCSTIKABV4JA6NC · pith_short_8: MFCSTIKA

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/MFCSTIKABV4JA6NC25ALEYVFGB \
  | 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: 614529a1400d789079a2d740b262a53068aa89ea1b0e432eb87dadd511eb1404

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc7362fc4d457c000937ccaf13247a4dad653bd9ff2bec51ce479a257a515ae9",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-11T21:01:54Z",
    "title_canon_sha256": "289a86f574bf7263d2c3e0bdd754ebd47fbf881a2599f2b4c58cf9383117b87e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2209",
    "kind": "arxiv",
    "version": 1
  }
}