Pith Number

pith:UAAULP4C

pith:2026:UAAULP4C5Z3O3U5U2SBHMKK6EJ

not attested not anchored not stored refs pending

Periodic orbits with prescribed negative energy for relativistic Keplerian problems

Alberto Boscaggin, Duccio Papini, Guglielmo Feltrin

arxiv:2607.00478 v1 · 2026-07-01 · 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{UAAULP4C5Z3O3U5U2SBHMKK6EJ}

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	2026-07-02T01:17:44.559216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a00145bf82ee76edd3b4d48276295e22505c4a6aeaa0c02302d4aadeaecf2c28

Aliases

arxiv: 2607.00478 · arxiv_version: 2607.00478v1 · doi: 10.48550/arxiv.2607.00478 · pith_short_12: UAAULP4C5Z3O · pith_short_16: UAAULP4C5Z3O3U5U · pith_short_8: UAAULP4C

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/UAAULP4C5Z3O3U5U2SBHMKK6EJ \
  | 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: a00145bf82ee76edd3b4d48276295e22505c4a6aeaa0c02302d4aadeaecf2c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4069194916b4f33b53d0b17eaa787c69835b7b1736c8b9166eea7b106d434315",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-07-01T06:00:01Z",
    "title_canon_sha256": "4dbfcb72976fbc76086ce360af0922009372e7dde4766269f71d879746ae7bc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00478",
    "kind": "arxiv",
    "version": 1
  }
}