Pith Number

pith:5DMWNC63

pith:2014:5DMWNC63XULVQPIXOOUGFFZO65

not attested not anchored not stored refs pending

Lengths of three simple periodic geodesics on a Riemannian $2$-sphere

Alexander Nabutovsky, Regina Rotman, Yevgeny Liokumovich

arxiv:1410.8456 v1 · 2014-10-30 · 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{5DMWNC63XULVQPIXOOUGFFZO65}

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	2026-05-18T02:38:59.871153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8d9668bdbbd17583d1773a862972ef7427763277a79b40462d89c0e57251429

Aliases

arxiv: 1410.8456 · arxiv_version: 1410.8456v1 · doi: 10.48550/arxiv.1410.8456 · pith_short_12: 5DMWNC63XULV · pith_short_16: 5DMWNC63XULVQPIX · pith_short_8: 5DMWNC63

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/5DMWNC63XULVQPIXOOUGFFZO65 \
  | 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: e8d9668bdbbd17583d1773a862972ef7427763277a79b40462d89c0e57251429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8729537da50f3d35d6ddfc08cce0e4c144dc95bfdc9c42cfec3766265e9238fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-10-30T17:29:09Z",
    "title_canon_sha256": "68dbfe379b89f6e2015e369d463baaef932f2008618493c24e9f424cc1c66fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8456",
    "kind": "arxiv",
    "version": 1
  }
}