Pith Number

pith:YGKMOD4Y

pith:2018:YGKMOD4YTERLEWXVQ4N4R5TMST

not attested not anchored not stored refs pending

Spherical twists and Lagrangian spherical manifolds

Cheuk Yu Mak, WeiWei Wu

arxiv:1810.06533 v1 · 2018-10-15 · math.SG · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGKMOD4YTERLEWXVQ4N4R5TMST}

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	2026-05-18T00:03:20.314040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c194c70f989922b25af5871bc8f66c94ccc6f4cab23184b9bd7f79b77db4350f

Aliases

arxiv: 1810.06533 · arxiv_version: 1810.06533v1 · doi: 10.48550/arxiv.1810.06533 · pith_short_12: YGKMOD4YTERL · pith_short_16: YGKMOD4YTERLEWXV · pith_short_8: YGKMOD4Y

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/YGKMOD4YTERLEWXVQ4N4R5TMST \
  | 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: c194c70f989922b25af5871bc8f66c94ccc6f4cab23184b9bd7f79b77db4350f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e89bc5ca43ce4481def5c1cc6b2ad1d4d42768bf9511eb8bd303ef4cfd492a4",
    "cross_cats_sorted": [
      "math.AG",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2018-10-15T17:34:43Z",
    "title_canon_sha256": "0b7f06af0f88e634ee63c62c22603c257b72f3ae868f77d2caa4373842ef4edf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.06533",
    "kind": "arxiv",
    "version": 1
  }
}