Pith Number

pith:JZFDMN7I

pith:2009:JZFDMN7I66DBH56WMLY47KFMAM

not attested not anchored not stored refs pending

Closed-orbit theory for spatial density oscillations

Jer\^ome Roccia, Matthias Brack

arxiv:0911.0284 v1 · 2009-11-02 · math-ph · math.MP · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JZFDMN7I66DBH56WMLY47KFMAM}

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	2026-05-18T02:11:00.729694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e4a3637e8f78613f7d662f1cfa8ac0327133ea938cd34416ad513ce0c888fac

Aliases

arxiv: 0911.0284 · arxiv_version: 0911.0284v1 · doi: 10.48550/arxiv.0911.0284 · pith_short_12: JZFDMN7I66DB · pith_short_16: JZFDMN7I66DBH56W · pith_short_8: JZFDMN7I

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/JZFDMN7I66DBH56WMLY47KFMAM \
  | 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: 4e4a3637e8f78613f7d662f1cfa8ac0327133ea938cd34416ad513ce0c888fac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f3c3c9cacaa0ebaef0b8e0ab88952db61870715a8fbc0654c7afc1e9271944",
    "cross_cats_sorted": [
      "math.MP",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-02T10:50:15Z",
    "title_canon_sha256": "750dcecc3f53688ecf2ca1d4dbf587f45798f3ba002959e1b376d20807ed92ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.0284",
    "kind": "arxiv",
    "version": 1
  }
}