Pith Number

pith:ABO5DNQF

pith:2012:ABO5DNQFLODTYYTKDBNUFJU7TX

not attested not anchored not stored refs pending

Stirring N-body systems: Universality of end states

Hongsheng Zhao, Jeremy A. Barber, Steen H. Hansen, Xufen Wu

arxiv:1204.2764 v1 · 2012-04-12 · astro-ph.GA · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABO5DNQFLODTYYTKDBNUFJU7TX}

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	2026-05-18T01:57:53.068348Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

005dd1b6055b873c626a185b42a69f9dd0979e44decf7e3dd1a4b33a74b18c72

Aliases

arxiv: 1204.2764 · arxiv_version: 1204.2764v1 · doi: 10.48550/arxiv.1204.2764 · pith_short_12: ABO5DNQFLODT · pith_short_16: ABO5DNQFLODTYYTK · pith_short_8: ABO5DNQF

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/ABO5DNQFLODTYYTKDBNUFJU7TX \
  | 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: 005dd1b6055b873c626a185b42a69f9dd0979e44decf7e3dd1a4b33a74b18c72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02462897663dd8fef8c05206cb7a54985b6eb7430161c4e6ce23340af093a76f",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2012-04-12T16:07:59Z",
    "title_canon_sha256": "b7cf182a64041ff1ecd6be82679438d21bbf8b74c24bcbd1d4b4ef7737fd4bf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2764",
    "kind": "arxiv",
    "version": 1
  }
}