Pith Number

pith:HZ5ZLEZX

pith:2009:HZ5ZLEZXOYRYMEWA63GMY32Q73

not attested not anchored not stored refs pending

Exotic group actions on simply connected smooth 4-manifolds

Nathan Sunukjian, Ronald Fintushel, Ronald J. Stern

arxiv:0902.0963 v2 · 2009-02-05 · 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{HZ5ZLEZXOYRYMEWA63GMY32Q73}

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	2026-05-18T02:58:10.725523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7b95933776238612c0f6cccc6f50fefaa89bb8a5e6ff325aa701ebe8fab7f1

Aliases

arxiv: 0902.0963 · arxiv_version: 0902.0963v2 · doi: 10.48550/arxiv.0902.0963 · pith_short_12: HZ5ZLEZXOYRY · pith_short_16: HZ5ZLEZXOYRYMEWA · pith_short_8: HZ5ZLEZX

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/HZ5ZLEZXOYRYMEWA63GMY32Q73 \
  | 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: 3e7b95933776238612c0f6cccc6f50fefaa89bb8a5e6ff325aa701ebe8fab7f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a18ddc126efbcef7de332dfce2b782ac4d030a11b00d7a98ad2323760af5d06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-02-05T20:21:10Z",
    "title_canon_sha256": "7ccc2eecc3af4601abd0769c33e6582f97b6cd8ad43b6454215f88cea08a6c00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0963",
    "kind": "arxiv",
    "version": 2
  }
}