Pith Number

pith:UTEO5OAR

pith:1993:UTEO5OARWAXLVRMKZIVMMCEALY

not attested not anchored not stored refs pending

Resummation of classical and semiclassical periodic orbit formulas

Bruno Eckhardt, Gunnar Russberg

arxiv:chao-dyn/9303012 v1 · 1993-03-11 · chao-dyn · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTEO5OARWAXLVRMKZIVMMCEALY}

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	2026-07-04T15:55:09.848064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4c8eeb811b02ebac58aca2ac608805e007abc45db9d6c1e1a3aa8bcb4dadf7f

Aliases

arxiv: chao-dyn/9303012 · arxiv_version: chao-dyn/9303012v1 · doi: 10.48550/arxiv.chao-dyn/9303012 · pith_short_12: UTEO5OARWAXL · pith_short_16: UTEO5OARWAXLVRMK · pith_short_8: UTEO5OAR

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/UTEO5OARWAXLVRMKZIVMMCEALY \
  | 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: a4c8eeb811b02ebac58aca2ac608805e007abc45db9d6c1e1a3aa8bcb4dadf7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ad34ba47544c772694806dce8bf4cb934663ce1a25cdf72123d98b46bccd257",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "chao-dyn",
    "submitted_at": "1993-03-11T00:00:00Z",
    "title_canon_sha256": "7ff54190afcb339b80bae85819a5d7a117a2ff0020d508af401de5dd2a16dd12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "chao-dyn/9303012",
    "kind": "arxiv",
    "version": 1
  }
}