Pith Number

pith:GP7V6L6U

pith:2022:GP7V6L6UG34KQ63D62ZAN6FYII

not attested not anchored not stored refs pending

Minimal length of nonsimple closed geodesics on hyperbolic surfaces

Jiajun Wang, Wujie Shen

arxiv:2207.08360 v1 · 2022-07-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GP7V6L6UG34KQ63D62ZAN6FYII}

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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.

Cited by

1 paper in Pith

Shortest filling geodesics on hyperbolic surfaces

Receipt and verification

First computed	2026-07-05T04:41:03.758031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33ff5f2fd436f8a87b63f6b206f8b8420c6d48a8cc775bced2b55188dec9e82a

Aliases

arxiv: 2207.08360 · arxiv_version: 2207.08360v1 · doi: 10.48550/arxiv.2207.08360 · pith_short_12: GP7V6L6UG34K · pith_short_16: GP7V6L6UG34KQ63D · pith_short_8: GP7V6L6U

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/GP7V6L6UG34KQ63D62ZAN6FYII \
  | 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: 33ff5f2fd436f8a87b63f6b206f8b8420c6d48a8cc775bced2b55188dec9e82a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb180a521539ba9d7db6526dbee0955cf706a02f8434cd1e78b35a13004a425",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-07-18T02:57:52Z",
    "title_canon_sha256": "fb2222131e0b149a21b8e065e221318d67bccc4519a53a2fdc268a0cdda31caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08360",
    "kind": "arxiv",
    "version": 1
  }
}