Pith Number

pith:C3DQVMYC

pith:2017:C3DQVMYCOQTTTDEYDVHA3CYBKU

not attested not anchored not stored refs pending

The equality case in Wu-Yau inequalities

Stefano Trapani

arxiv:1711.08964 v2 · 2017-11-24 · 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{C3DQVMYCOQTTTDEYDVHA3CYBKU}

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	2026-05-18T00:26:35.875605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16c70ab3027427398c981d4e0d8b015503507340f2c91f9c2216e2e92603c56c

Aliases

arxiv: 1711.08964 · arxiv_version: 1711.08964v2 · doi: 10.48550/arxiv.1711.08964 · pith_short_12: C3DQVMYCOQTT · pith_short_16: C3DQVMYCOQTTTDEY · pith_short_8: C3DQVMYC

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/C3DQVMYCOQTTTDEYDVHA3CYBKU \
  | 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: 16c70ab3027427398c981d4e0d8b015503507340f2c91f9c2216e2e92603c56c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "766b6c3cf48c06cc96b5cb2025d7e0781356eaf722ee9a2d3520855d46f1cfef",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-24T14:00:08Z",
    "title_canon_sha256": "9586584463255d97ec88b071ef74e5e0e6e86933a882a02f8b30dccf8ebb0aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08964",
    "kind": "arxiv",
    "version": 2
  }
}