Pith Number

pith:II5YDSCF

pith:2012:II5YDSCFCVO4CSPNBHASHOWNV5

not attested not anchored not stored refs pending

Lantern substitution and new symplectic 4-manifolds with ${b_{2}}^{+} = 3$

Anar Akhmedov, Jun-Yong Park

arxiv:1207.0684 v2 · 2012-07-03 · 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{II5YDSCFCVO4CSPNBHASHOWNV5}

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	2026-05-18T02:51:08.785450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

423b81c845155dc149ed09c123bacdaf548f5e7d739dc61af60a29f0f67c3554

Aliases

arxiv: 1207.0684 · arxiv_version: 1207.0684v2 · doi: 10.48550/arxiv.1207.0684 · pith_short_12: II5YDSCFCVO4 · pith_short_16: II5YDSCFCVO4CSPN · pith_short_8: II5YDSCF

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/II5YDSCFCVO4CSPNBHASHOWNV5 \
  | 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: 423b81c845155dc149ed09c123bacdaf548f5e7d739dc61af60a29f0f67c3554

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa4e23de05c0df7dca51ecd98acfc85672362f5c5520e64e0df060e61e1b4808",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-07-03T14:01:26Z",
    "title_canon_sha256": "f7e8f8ce739fd7e21fed8d737076629ce684322b2b2d86c80cd6e5e71d376374"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0684",
    "kind": "arxiv",
    "version": 2
  }
}