Pith Number

pith:6FI5CJLW

pith:2012:6FI5CJLWE62M4FL3XGWQOZI5CH

not attested not anchored not stored refs pending

Gluck twisting 4-manifolds with odd intersection form

Kouichi Yasui, Selman Akbulut

arxiv:1205.6038 v3 · 2012-05-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6FI5CJLWE62M4FL3XGWQOZI5CH}

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	2026-05-18T03:28:53.922883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f151d1257627b4ce157bb9ad07651d11e439559456126734d37996f97493902a

Aliases

arxiv: 1205.6038 · arxiv_version: 1205.6038v3 · doi: 10.48550/arxiv.1205.6038 · pith_short_12: 6FI5CJLWE62M · pith_short_16: 6FI5CJLWE62M4FL3 · pith_short_8: 6FI5CJLW

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/6FI5CJLWE62M4FL3XGWQOZI5CH \
  | 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: f151d1257627b4ce157bb9ad07651d11e439559456126734d37996f97493902a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb1664498016e598cd85c216dd7e2dde0d44dba91f99c3cf04e575f19050e219",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-28T06:57:28Z",
    "title_canon_sha256": "2a88dcebb48d8d36d9d0765f9356804f97efce120e4d69c4f5b7b1e55d1971bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6038",
    "kind": "arxiv",
    "version": 3
  }
}