Pith Number

pith:KADBGWBT

pith:2021:KADBGWBT6UDFERQQ4AAFFVB5LX

not attested not anchored not stored refs pending

The Wu-Yau theorem on Sasakian manifolds

Yong Chen

arxiv:2109.05414 v1 · 2021-09-12 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KADBGWBT6UDFERQQ4AAFFVB5LX}

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	2026-07-05T03:13:38.729647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5006135833f506524610e00052d43d5dc5b558f17237df585d60215373a51330

Aliases

arxiv: 2109.05414 · arxiv_version: 2109.05414v1 · doi: 10.48550/arxiv.2109.05414 · pith_short_12: KADBGWBT6UDF · pith_short_16: KADBGWBT6UDFERQQ · pith_short_8: KADBGWBT

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/KADBGWBT6UDFERQQ4AAFFVB5LX \
  | 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: 5006135833f506524610e00052d43d5dc5b558f17237df585d60215373a51330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bebd9728d2dc27378d3496e84e585414fb5a082a5f4821102a4c4faeace76b6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-09-12T03:19:39Z",
    "title_canon_sha256": "1a79b80ac94f3d3fc31360681fb3bfd7910966cee39b275999e5b2f9c7031169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.05414",
    "kind": "arxiv",
    "version": 1
  }
}