Pith Number

pith:IYJQIUQS

pith:2011:IYJQIUQS7GXELLD4GQBZMFUNBM

not attested not anchored not stored refs pending

Products of pairs of Dehn twists and maximal real Lefschetz fibrations

Alex Degtyarev, Nermin Salepci

arxiv:1110.4093 v3 · 2011-10-18 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYJQIUQS7GXELLD4GQBZMFUNBM}

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	2026-05-18T02:29:25.547184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4613045212f9ae45ac7c340396168d0b15c0420c146fcacec6379f8d83ee2d3f

Aliases

arxiv: 1110.4093 · arxiv_version: 1110.4093v3 · doi: 10.48550/arxiv.1110.4093 · pith_short_12: IYJQIUQS7GXE · pith_short_16: IYJQIUQS7GXELLD4 · pith_short_8: IYJQIUQS

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/IYJQIUQS7GXELLD4GQBZMFUNBM \
  | 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: 4613045212f9ae45ac7c340396168d0b15c0420c146fcacec6379f8d83ee2d3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e36dcd258b3772ffbf06e29bec08f94c78015edc6c51dc9812450a954ecea3f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-18T19:28:07Z",
    "title_canon_sha256": "5ae494825025ea782a099947113074d33c3b99b26d1ba56d2cb0191382ae3090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4093",
    "kind": "arxiv",
    "version": 3
  }
}