Pith Number

pith:I7KEM3C7

pith:2019:I7KEM3C7YK4WA3JCM33CSM3KFY

not attested not anchored not stored refs pending

Lefschetz-Bott fibrations on line bundles over symplectic manifolds

Takahiro Oba

arxiv:1904.00369 v1 · 2019-03-31 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I7KEM3C7YK4WA3JCM33CSM3KFY}

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	2026-05-17T23:49:48.560548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47d4466c5fc2b9606d2266f629336a2e181a087d7429acf31f94edc1bb9f39bb

Aliases

arxiv: 1904.00369 · arxiv_version: 1904.00369v1 · doi: 10.48550/arxiv.1904.00369 · pith_short_12: I7KEM3C7YK4W · pith_short_16: I7KEM3C7YK4WA3JC · pith_short_8: I7KEM3C7

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/I7KEM3C7YK4WA3JCM33CSM3KFY \
  | 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: 47d4466c5fc2b9606d2266f629336a2e181a087d7429acf31f94edc1bb9f39bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9c1c8ca0f4f5db910d98abc8d950fe93092deaea24faac0cb6e72e7da514096",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-03-31T09:42:48Z",
    "title_canon_sha256": "7390ba4cbfdd0d4fb013c0f357a178ae878fed4ff4577ed1d1fa68bc01cd625e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.00369",
    "kind": "arxiv",
    "version": 1
  }
}