Pith Number

pith:APDNSJJ7

pith:2009:APDNSJJ7BUDJ5XZSILTG56RO23

not attested not anchored not stored refs pending

A survey of group actions on 4-manifolds

Allan L. Edmonds

arxiv:0907.0454 v3 · 2009-07-02 · 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{APDNSJJ7BUDJ5XZSILTG56RO23}

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	2026-05-18T01:17:10.611651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c6d9253f0d069edf3242e66efa2ed6ee3628089919f29aad1a4689f9f1619f

Aliases

arxiv: 0907.0454 · arxiv_version: 0907.0454v3 · doi: 10.48550/arxiv.0907.0454 · pith_short_12: APDNSJJ7BUDJ · pith_short_16: APDNSJJ7BUDJ5XZS · pith_short_8: APDNSJJ7

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/APDNSJJ7BUDJ5XZSILTG56RO23 \
  | 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: 03c6d9253f0d069edf3242e66efa2ed6ee3628089919f29aad1a4689f9f1619f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "430a29c6da29a7b0314e3def5123421eb6c58b9c83e4b6e662678ef3c8d630ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-07-02T17:57:04Z",
    "title_canon_sha256": "c5f929cc28858b90ff70440c9654738bb7c600cb136ebde43ab1f8321646759e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0454",
    "kind": "arxiv",
    "version": 3
  }
}