Pith Number

pith:Y4UJC3FU

pith:2018:Y4UJC3FU7P7ZSQ6T25WXKX4CM2

not attested not anchored not stored refs pending

Odd-dimensional orbifolds with all geodesics closed are covered by manifolds

Christian Lange, Manual Amann, Marco Radeschi

arxiv:1811.10320 v1 · 2018-11-26 · 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{Y4UJC3FU7P7ZSQ6T25WXKX4CM2}

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	2026-05-17T23:59:56.806959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c728916cb4fbff9943d3d76d755f8266a22fb3e2e3d952afd1f9ae3f3034c696

Aliases

arxiv: 1811.10320 · arxiv_version: 1811.10320v1 · doi: 10.48550/arxiv.1811.10320 · pith_short_12: Y4UJC3FU7P7Z · pith_short_16: Y4UJC3FU7P7ZSQ6T · pith_short_8: Y4UJC3FU

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/Y4UJC3FU7P7ZSQ6T25WXKX4CM2 \
  | 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: c728916cb4fbff9943d3d76d755f8266a22fb3e2e3d952afd1f9ae3f3034c696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bd533cbfce2c2fa09907d6aa846174ee98f45f77b6af939e4b2fdadf0be2a89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-26T12:26:44Z",
    "title_canon_sha256": "3baa44eaab191b7183c8961e3127802c0ac17318c52822aab3e620c7084fc1c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.10320",
    "kind": "arxiv",
    "version": 1
  }
}