Pith Number

pith:EXECH6FW

pith:2023:EXECH6FW4HGTQZDLRTEZ7QOB5F

not attested not anchored not stored refs pending

Nonsimple closed geodesics with given intersection number on hyperbolic surfaces

Wujie Shen

arxiv:2305.00638 v2 · 2023-05-01 · 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{EXECH6FW4HGTQZDLRTEZ7QOB5F}

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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	2026-07-05T11:47:09.467292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25c823f8b6e1cd38646b8cc99fc1c1e950142b43a681b0fa447e2e1afb2c5ec9

Aliases

arxiv: 2305.00638 · arxiv_version: 2305.00638v2 · doi: 10.48550/arxiv.2305.00638 · pith_short_12: EXECH6FW4HGT · pith_short_16: EXECH6FW4HGTQZDL · pith_short_8: EXECH6FW

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/EXECH6FW4HGTQZDLRTEZ7QOB5F \
  | 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: 25c823f8b6e1cd38646b8cc99fc1c1e950142b43a681b0fa447e2e1afb2c5ec9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06c3bd0fb9f4f5dd86c1a1193aae309a6c194eea19127f3f531090bdc033dfe0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-05-01T03:01:09Z",
    "title_canon_sha256": "8453737920f2861071e11488dc91b03af384d37477a0f3f1f6c49ab683f91646"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.00638",
    "kind": "arxiv",
    "version": 2
  }
}