Pith Number

pith:AUBBHGJB

pith:2018:AUBBHGJB3OTTJSJLTUZBYSZNNS

not attested not anchored not stored refs pending

On the three-circle theorem and its applications in Sasakian manifolds

Chien Lin, Shu-Cheng Chang, Yingbo Han

arxiv:1801.08858 v2 · 2018-01-25 · 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{AUBBHGJB3OTTJSJLTUZBYSZNNS}

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	2026-05-18T00:24:46.695293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0502139921dba734c92b9d321c4b2d6ca5a46020a35c845193e0cf3ed1355dcc

Aliases

arxiv: 1801.08858 · arxiv_version: 1801.08858v2 · doi: 10.48550/arxiv.1801.08858 · pith_short_12: AUBBHGJB3OTT · pith_short_16: AUBBHGJB3OTTJSJL · pith_short_8: AUBBHGJB

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/AUBBHGJB3OTTJSJLTUZBYSZNNS \
  | 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: 0502139921dba734c92b9d321c4b2d6ca5a46020a35c845193e0cf3ed1355dcc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f70dfd33a1f80b15eff8b1d0bf821b91f554af42b9f03392ebcba02705a8cb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-01-25T02:15:11Z",
    "title_canon_sha256": "404318d49b64694a41be1100409d96bf1121abb6b62a89311056dc592cf20fa8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08858",
    "kind": "arxiv",
    "version": 2
  }
}