Pith Number

pith:VMJIH3MM

pith:2002:VMJIH3MM5UYL5AUS6U5B5IQ7P7

not attested not anchored not stored refs pending

BBGKY Dynamics: from Localization to Pattern Formation

Antonina N. Fedorova, Michael G. Zeitlin

arxiv:physics/0212066 v1 · 2002-12-18 · physics.plasm-ph · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMJIH3MM5UYL5AUS6U5B5IQ7P7}

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	2026-05-18T00:37:06.834152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1283ed8ced30be8292f53a1ea21f7fda578dbba085bc6c28e96b0600ba75c0

Aliases

arxiv: physics/0212066 · arxiv_version: physics/0212066v1 · doi: 10.48550/arxiv.physics/0212066 · pith_short_12: VMJIH3MM5UYL · pith_short_16: VMJIH3MM5UYL5AUS · pith_short_8: VMJIH3MM

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/VMJIH3MM5UYL5AUS6U5B5IQ7P7 \
  | 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: ab1283ed8ced30be8292f53a1ea21f7fda578dbba085bc6c28e96b0600ba75c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "264c865a97a779c0ecc60334772db6dd143d18934399e3fe0bb032008d4a1b97",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2002-12-18T15:47:19Z",
    "title_canon_sha256": "86074a306798397c49f429477e420e8b32bb5a52c024e80c5581e09eb1efa54b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0212066",
    "kind": "arxiv",
    "version": 1
  }
}