Pith Number

pith:XZ2EFW6W

pith:2004:XZ2EFW6WCEPKS7UL635C627UHJ

not attested not anchored not stored refs pending

Exotic smooth structures on $CP^2#5{\bar CP^2}$

Andras I Stipsicz, Jongil Park, Zoltan Szabo

arxiv:math/0412216 v3 · 2004-12-10 · 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{XZ2EFW6WCEPKS7UL635C627UHJ}

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	2026-07-04T14:39:27.326178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7442dbd6111ea97e8bf6fa2f6bf43a56e16b8130bdabd2cba696f0c11743b7

Aliases

arxiv: math/0412216 · arxiv_version: math/0412216v3 · doi: 10.48550/arxiv.math/0412216 · pith_short_12: XZ2EFW6WCEPK · pith_short_16: XZ2EFW6WCEPKS7UL · pith_short_8: XZ2EFW6W

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/XZ2EFW6WCEPKS7UL635C627UHJ \
  | 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: be7442dbd6111ea97e8bf6fa2f6bf43a56e16b8130bdabd2cba696f0c11743b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3babef392c36449142ee2617db229fc42559fee96d67545e1ae73a96fb28e8c7",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-12-10T18:07:15Z",
    "title_canon_sha256": "aa1d4abc11ea3dc1ba12d41eb921c0bd6371317b2ea28735605d20fb9b3e0320"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412216",
    "kind": "arxiv",
    "version": 3
  }
}