Pith Number

pith:3QD453XP

pith:2024:3QD453XPRAN7BPTNUBWI6YEUMK

not attested not anchored not stored refs pending

Closed geodesics on compact Lorentzian solvmanifolds

Gabriela P. Ovando, Pablo Montenegro

arxiv:2411.14237 v1 · 2024-11-21 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3QD453XPRAN7BPTNUBWI6YEUMK}

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	2026-07-05T09:38:43.832724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc07ceeeef881bf0be6da06c8f609462b73d72565432ce9a1b8f64521e626aae

Aliases

arxiv: 2411.14237 · arxiv_version: 2411.14237v1 · doi: 10.48550/arxiv.2411.14237 · pith_short_12: 3QD453XPRAN7 · pith_short_16: 3QD453XPRAN7BPTN · pith_short_8: 3QD453XP

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/3QD453XPRAN7BPTNUBWI6YEUMK \
  | 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: dc07ceeeef881bf0be6da06c8f609462b73d72565432ce9a1b8f64521e626aae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0379cca99330c9b47af4dac7daf91f6f9588960e02bbca1d53a0a94b9b22c0ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-21T15:48:01Z",
    "title_canon_sha256": "edddbcb7aaffc0ba94183b9d9f27b4bd46befde7f7a475aecb3a41bc30dbf36f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14237",
    "kind": "arxiv",
    "version": 1
  }
}