Pith Number

pith:LAWQL4KC

pith:2012:LAWQL4KCXUEINPHELSJ4KRMTM6

not attested not anchored not stored refs pending

New Exotic 4-Manifolds via Luttinger Surgery on Lefschetz Fibrations

Anar Akhmedov, Kadriye Nur Saglam

arxiv:1212.1967 v2 · 2012-12-10 · math.GT · math.AG · 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{LAWQL4KCXUEINPHELSJ4KRMTM6}

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	2026-05-18T01:59:59.220359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27

Aliases

arxiv: 1212.1967 · arxiv_version: 1212.1967v2 · doi: 10.48550/arxiv.1212.1967 · pith_short_12: LAWQL4KCXUEI · pith_short_16: LAWQL4KCXUEINPHE · pith_short_8: LAWQL4KC

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/LAWQL4KCXUEINPHELSJ4KRMTM6 \
  | 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: 582d05f142bd0886bce45c93c5459367beee7db288c668e9ff1a813a29772d27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c8fc3cab844203f0879de557e2a5c6ebd9beb1ffff4e9ac74a285c1659b5f79",
    "cross_cats_sorted": [
      "math.AG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-12-10T04:08:40Z",
    "title_canon_sha256": "2ca0a984aded0bd129c5b6da42d1f6354b4312a1d6c9e5263ce153c107d25748"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1967",
    "kind": "arxiv",
    "version": 2
  }
}