Pith Number

pith:RILFDI2J

pith:2011:RILFDI2JIHLQRPGGQN5IHYLREE

not attested not anchored not stored refs pending

Period function and characterizations of Isochronous potentials

A. Raouf Chouikha

arxiv:1109.4611 v4 · 2011-09-21 · math.DS · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RILFDI2JIHLQRPGGQN5IHYLREE}

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	2026-05-18T04:09:37.376714Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a1651a34941d708bcc6837a83e1712127b733eaee5da8a795c34fbe28617849

Aliases

arxiv: 1109.4611 · arxiv_version: 1109.4611v4 · doi: 10.48550/arxiv.1109.4611 · pith_short_12: RILFDI2JIHLQ · pith_short_16: RILFDI2JIHLQRPGG · pith_short_8: RILFDI2J

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/RILFDI2JIHLQRPGGQN5IHYLREE \
  | 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: 8a1651a34941d708bcc6837a83e1712127b733eaee5da8a795c34fbe28617849

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec14a6f3d610924b137798e29b2f282e3e9f7392d35acf52a6e463a4163b769a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-09-21T18:48:25Z",
    "title_canon_sha256": "17f480399819bf982c5cc169686618d71f2d649a7508e38b2bd375a4a4c65dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4611",
    "kind": "arxiv",
    "version": 4
  }
}