Pith Number

pith:D3OD7BBV

pith:2012:D3OD7BBVF7353WWW2YR5BPQZPS

not attested not anchored not stored refs pending

Rigidity of pseudo-free group actions on contractible manifolds

Qayum Khan

arxiv:1203.4650 v2 · 2012-03-21 · 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{D3OD7BBVF7353WWW2YR5BPQZPS}

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	2026-05-18T03:29:27.721689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1edc3f84352ff7dddad6d623d0be197cbbe15ef05e16da125e5a5a599cebd2f5

Aliases

arxiv: 1203.4650 · arxiv_version: 1203.4650v2 · doi: 10.48550/arxiv.1203.4650 · pith_short_12: D3OD7BBVF735 · pith_short_16: D3OD7BBVF7353WWW · pith_short_8: D3OD7BBV

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/D3OD7BBVF7353WWW2YR5BPQZPS \
  | 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: 1edc3f84352ff7dddad6d623d0be197cbbe15ef05e16da125e5a5a599cebd2f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a7a317406027b6f5055142d9112f4dd3cd63abf8235e01027812116aff4c677",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-21T04:23:59Z",
    "title_canon_sha256": "a50c9f2f3ad88fcea8e3c70efa39f9d9e6d1baf9310008c84db9f08ee5e1c01b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4650",
    "kind": "arxiv",
    "version": 2
  }
}