Pith Number

pith:ISFRF3LS

pith:2011:ISFRF3LSABT247VAV4UALR745G

not attested not anchored not stored refs pending

Sections of surface bundles and Lefschetz fibrations

Mustafa Korkmaz, Naoyuki Monden, R. Inanc Baykur

arxiv:1110.1224 v3 · 2011-10-06 · 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{ISFRF3LSABT247VAV4UALR745G}

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	2026-05-18T03:59:25.182536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

448b12ed720067ae7ea0af2805c7fce9949df3c3c0c0588346fd94ef3f510bed

Aliases

arxiv: 1110.1224 · arxiv_version: 1110.1224v3 · doi: 10.48550/arxiv.1110.1224 · pith_short_12: ISFRF3LSABT2 · pith_short_16: ISFRF3LSABT247VA · pith_short_8: ISFRF3LS

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/ISFRF3LSABT247VAV4UALR745G \
  | 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: 448b12ed720067ae7ea0af2805c7fce9949df3c3c0c0588346fd94ef3f510bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81795230f607289d3a7a71befc7698a93ba7f3dfa42b5d90f627d2eb6b31bbe",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-06T11:04:30Z",
    "title_canon_sha256": "2fb2068cb03762e829da9381780b5c0481038889fcc0f230e3d60cd0685ccd2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1224",
    "kind": "arxiv",
    "version": 3
  }
}