Pith Number

pith:VBI5JLIG

pith:2004:VBI5JLIGY5KIQ3XOUIBYHPRDR2

not attested not anchored not stored refs pending

An exotic smooth structure on CP^2+6CP^2-bar

Andras I Stipsicz, Zoltan Szabo

arxiv:math/0411258 v4 · 2004-11-11 · 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{VBI5JLIGY5KIQ3XOUIBYHPRDR2}

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	2026-05-18T02:37:59.874818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a851d4ad06c754886eeea20383be238e97bb6e530fea6b1212dacf49bdd347c7

Aliases

arxiv: math/0411258 · arxiv_version: math/0411258v4 · doi: 10.48550/arxiv.math/0411258 · pith_short_12: VBI5JLIGY5KI · pith_short_16: VBI5JLIGY5KIQ3XO · pith_short_8: VBI5JLIG

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/VBI5JLIGY5KIQ3XOUIBYHPRDR2 \
  | 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: a851d4ad06c754886eeea20383be238e97bb6e530fea6b1212dacf49bdd347c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "917dfdb4a0974c658d0661bdf66d8eb55f07708ec11c696df930ca7075021874",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-11-11T15:51:17Z",
    "title_canon_sha256": "641205459a32467136d09b80fb8a2f1a1137d0a72eaad46b57042cb7634af029"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0411258",
    "kind": "arxiv",
    "version": 4
  }
}