Pith Number

pith:FISONX4E

pith:2009:FISONX4EPICI7RYPYPXKGO6MJZ

not attested not anchored not stored refs pending

Homotopy invariance of 4-manifold decompositions: connected sums

Qayum Khan

arxiv:0907.0308 v5 · 2009-07-02 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FISONX4EPICI7RYPYPXKGO6MJZ}

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	2026-05-18T03:45:23.491057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a24e6df847a048fc70fc3eea33bcc4e6d96d246228d217cf783b30110348d84

Aliases

arxiv: 0907.0308 · arxiv_version: 0907.0308v5 · doi: 10.48550/arxiv.0907.0308 · pith_short_12: FISONX4EPICI · pith_short_16: FISONX4EPICI7RYP · pith_short_8: FISONX4E

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/FISONX4EPICI7RYPYPXKGO6MJZ \
  | 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: 2a24e6df847a048fc70fc3eea33bcc4e6d96d246228d217cf783b30110348d84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5a381137ae84d35b5d0a1e9c834def9367db7ef46655161dd92717015882b68",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-02T16:45:32Z",
    "title_canon_sha256": "cd3b162a90ae2cb17b0614f7e3c4abe42b41e9b184f47c14e259401e7283ad37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0308",
    "kind": "arxiv",
    "version": 5
  }
}