Pith Number

pith:LMIIUJCW

pith:2003:LMIIUJCW4UYTAN3A6XLAFYI4F6

not attested not anchored not stored refs pending

Permutations, isotropy and smooth cyclic group actions on definite 4-manifolds

Ian Hambleton, Mihail Tanase

arxiv:math/0307297 v2 · 2003-07-22 · 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{LMIIUJCW4UYTAN3A6XLAFYI4F6}

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	2026-05-18T02:38:00.289323Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b108a2456e531303760f5d602e11c2f9bf67184e7f525e07b093597152b35de

Aliases

arxiv: math/0307297 · arxiv_version: math/0307297v2 · doi: 10.48550/arxiv.math/0307297 · pith_short_12: LMIIUJCW4UYT · pith_short_16: LMIIUJCW4UYTAN3A · pith_short_8: LMIIUJCW

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/LMIIUJCW4UYTAN3A6XLAFYI4F6 \
  | 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: 5b108a2456e531303760f5d602e11c2f9bf67184e7f525e07b093597152b35de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44185183285d3297b90149f8b3fe6a4d213561bc0528bf58c569c5a10da71292",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-07-22T14:16:20Z",
    "title_canon_sha256": "4bb787ab01c399adb468ad7a62b365f00195b0e5c569bf9d0de2bb4f84ca2a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307297",
    "kind": "arxiv",
    "version": 2
  }
}