Pith Number

pith:U6KANVTR

pith:2020:U6KANVTRVY64PYUVC4BQ6FO27K

not attested not anchored not stored refs pending

Simple length spectra as moduli for hyperbolic surfaces and rigidity of length identities

Dongryul M. Kim, Hyungryul Baik, Inhyeok Choi

arxiv:2012.05652 v3 · 2020-12-10 · math.GT · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U6KANVTRVY64PYUVC4BQ6FO27K}

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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

Oriented graphs on curve complex I: hyperbolic and extremal length

Receipt and verification

First computed	2026-07-05T11:22:26.817095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79406d671ae3dc7e29517030f15dafab442f8097ed8bb601e019cfdae56e716

Aliases

arxiv: 2012.05652 · arxiv_version: 2012.05652v3 · doi: 10.48550/arxiv.2012.05652 · pith_short_12: U6KANVTRVY64 · pith_short_16: U6KANVTRVY64PYUV · pith_short_8: U6KANVTR

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/U6KANVTRVY64PYUVC4BQ6FO27K \
  | 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: a79406d671ae3dc7e29517030f15dafab442f8097ed8bb601e019cfdae56e716

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5e35d1dcba0f6c391b66a7dff930e7a00eff94b121a40eaae77978c9895b306",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2020-12-10T13:17:25Z",
    "title_canon_sha256": "6b807e9db5215fbef7c611f63344c81222e45063ba42826ef6bbbf065d66ea08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05652",
    "kind": "arxiv",
    "version": 3
  }
}