Pith Number

pith:JHBHWBR4

pith:2018:JHBHWBR4IUQSWJF7DKZQY6GJGW

not attested not anchored not stored refs pending

The Weil-Petersson curvature operator on the universal Teichm\"uller space

Yunhui Wu, Zheng Huang

arxiv:1805.09095 v1 · 2018-05-23 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JHBHWBR4IUQSWJF7DKZQY6GJGW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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.

Receipt and verification

First computed	2026-05-18T00:06:24.785799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49c27b063c45212b24bf1ab30c78c935990826ae70270a0bc238196a6bd7c83c

Aliases

arxiv: 1805.09095 · arxiv_version: 1805.09095v1 · doi: 10.48550/arxiv.1805.09095 · pith_short_12: JHBHWBR4IUQS · pith_short_16: JHBHWBR4IUQSWJF7 · pith_short_8: JHBHWBR4

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/JHBHWBR4IUQSWJF7DKZQY6GJGW \
  | 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: 49c27b063c45212b24bf1ab30c78c935990826ae70270a0bc238196a6bd7c83c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d9f2ca9002630e383cc8b2bea918cf4bb3b13adddbb0854d30b36db5e091f40",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-05-23T12:39:31Z",
    "title_canon_sha256": "d8a8840c6e61d1edc32105321b974ec8c15a9533798634f9a03552c127005a9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09095",
    "kind": "arxiv",
    "version": 1
  }
}