Pith Number

pith:WUSF6VVG

pith:2019:WUSF6VVGVYPIFW3MN4VSDF6TKU

not attested not anchored not stored refs pending

Which finite groups act smoothly on a given $4$-manifold?

Carles S\'aez-Calvo, Ignasi Mundet i Riera

arxiv:1901.04223 v1 · 2019-01-14 · math.DG · math.GR · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUSF6VVGVYPIFW3MN4VSDF6TKU}

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	2026-05-17T23:56:26.036500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5245f56a6ae1e82db6c6f2b2197d355223d5dee4afa58d8408f5620138e3e0e

Aliases

arxiv: 1901.04223 · arxiv_version: 1901.04223v1 · doi: 10.48550/arxiv.1901.04223 · pith_short_12: WUSF6VVGVYPI · pith_short_16: WUSF6VVGVYPIFW3M · pith_short_8: WUSF6VVG

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/WUSF6VVGVYPIFW3MN4VSDF6TKU \
  | 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: b5245f56a6ae1e82db6c6f2b2197d355223d5dee4afa58d8408f5620138e3e0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f595e20cac30e235f337906ae231fb91a0be29ca421aa8ffcbd9acca74c4d7",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-01-14T10:31:32Z",
    "title_canon_sha256": "5a67ee0fb0251011e64e1c12d224bf6d01c0938230573cfcd588494c761037a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04223",
    "kind": "arxiv",
    "version": 1
  }
}