Pith Number

pith:YK77NVBV

pith:2019:YK77NVBVMRDYAIC5YKCCFXHAWN

not attested not anchored not stored refs pending

Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures

Martin Bridgeman, Yunhui Wu

arxiv:1908.02535 v1 · 2019-08-07 · math.DG · 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{YK77NVBVMRDYAIC5YKCCFXHAWN}

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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

The vanishing rate of Weil-Petersson sectional curvatures

Receipt and verification

First computed	2026-07-05T01:06:48.987267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2bff6d435644780205dc28422dce0b367dae55c3ffc817b622d8bb0bc6caa0f

Aliases

arxiv: 1908.02535 · arxiv_version: 1908.02535v1 · doi: 10.48550/arxiv.1908.02535 · pith_short_12: YK77NVBVMRDY · pith_short_16: YK77NVBVMRDYAIC5 · pith_short_8: YK77NVBV

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/YK77NVBVMRDYAIC5YKCCFXHAWN \
  | 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: c2bff6d435644780205dc28422dce0b367dae55c3ffc817b622d8bb0bc6caa0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eeefff0bbb08c4c55e3fbda7fb8b8889386809e460dde007151162780b0aa24",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-07T11:32:21Z",
    "title_canon_sha256": "d7d1a6ae006afe403d47bde3dfe55cc1a66a2d3b542bc79acf6493d6c49e5c11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02535",
    "kind": "arxiv",
    "version": 1
  }
}