Pith Number

pith:TTS7VLMF

pith:2026:TTS7VLMFS4DLTZWWURAYL6ZRIN

not attested not anchored not stored refs pending

Physics-Informed Neural Networks for Discovering Periodic Orbits in the Gravitational Three-Body Problem

Nikolaos Kollias, Nikolaos Matzakos

arxiv:2607.23501 v1 · 2026-07-26 · cs.LG · nlin.CD · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TTS7VLMFS4DLTZWWURAYL6ZRIN}

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	2026-07-28T01:22:56.246343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce5faad859706b9e6d6a44185fb314366696894d873a35d55eb573c5d413dd5

Aliases

arxiv: 2607.23501 · arxiv_version: 2607.23501v1 · doi: 10.48550/arxiv.2607.23501 · pith_short_12: TTS7VLMFS4DL · pith_short_16: TTS7VLMFS4DLTZWW · pith_short_8: TTS7VLMF

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/TTS7VLMFS4DLTZWWURAYL6ZRIN \
  | 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: 9ce5faad859706b9e6d6a44185fb314366696894d873a35d55eb573c5d413dd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "620e946f77a8331c76cfdbf7211143e39e67c78801bfd3953a326431da7a8851",
    "cross_cats_sorted": [
      "nlin.CD",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-26T07:07:29Z",
    "title_canon_sha256": "f471e8fd546b91d425c14358a6c65b3552e44374365c83ee4075c2123571536f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23501",
    "kind": "arxiv",
    "version": 1
  }
}