Pith Number

pith:ATWIT5ZS

pith:2016:ATWIT5ZSZUMC356V2JLX7W5YBZ

not attested not anchored not stored refs pending

Planar Lefschetz fibrations and Stein structures with distinct Ozsvath-Szabo invariants on corks

Cagri Karakurt, Takahiro Oba, Takuya Ukida

arxiv:1607.07661 v1 · 2016-07-26 · 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{ATWIT5ZSZUMC356V2JLX7W5YBZ}

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	2026-05-18T01:10:28.028130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ec89f732cd182df7d5d2577fdbb80e54bd25895f1a609f6ca9ad5384a7d935

Aliases

arxiv: 1607.07661 · arxiv_version: 1607.07661v1 · doi: 10.48550/arxiv.1607.07661 · pith_short_12: ATWIT5ZSZUMC · pith_short_16: ATWIT5ZSZUMC356V · pith_short_8: ATWIT5ZS

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/ATWIT5ZSZUMC356V2JLX7W5YBZ \
  | 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: 04ec89f732cd182df7d5d2577fdbb80e54bd25895f1a609f6ca9ad5384a7d935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c57eee6b8e503b177bfabe1af00a7739dd8ebf59848e677e0f6bc9429ba93820",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-26T12:17:57Z",
    "title_canon_sha256": "2b280994036ae68fdf7bf3ce7598cd4ee90376c5179f08cc1ba5f4dc028e438a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.07661",
    "kind": "arxiv",
    "version": 1
  }
}