Pith Number

pith:JE2R4DS5

pith:2023:JE2R4DS5J2GCEEY6QSL6WFVRIY

not attested not anchored not stored refs pending

Non-simple systoles on random hyperbolic surfaces for large genus

Yang Shen, Yuhao Xue, Yunhui Wu, Yuxin He

arxiv:2308.16447 v2 · 2023-08-31 · math.GT · math.CV · math.DG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JE2R4DS5J2GCEEY6QSL6WFVRIY}

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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

Bass notes of random hyperbolic surfaces of large genus

Receipt and verification

First computed	2026-07-05T11:56:42.742084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49351e0e5d4e8c22131e8497eb16b1463f44b28201208703e28046c1b5f4fe3c

Aliases

arxiv: 2308.16447 · arxiv_version: 2308.16447v2 · doi: 10.48550/arxiv.2308.16447 · pith_short_12: JE2R4DS5J2GC · pith_short_16: JE2R4DS5J2GCEEY6 · pith_short_8: JE2R4DS5

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/JE2R4DS5J2GCEEY6QSL6WFVRIY \
  | 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: 49351e0e5d4e8c22131e8497eb16b1463f44b28201208703e28046c1b5f4fe3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f7a98eafe09ba700fe5277c617c380ce48d51de0eec0ecdd1d9708f9270df00",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-08-31T04:26:43Z",
    "title_canon_sha256": "e2fd985ca27033442ea24611a514c0befb8e429e02ae2726640529f8a5590700"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.16447",
    "kind": "arxiv",
    "version": 2
  }
}