Pith Number

pith:SUO3WDDK

pith:2010:SUO3WDDKGQU2NQFPOL6CTI6A22

not attested not anchored not stored refs pending

Homology of the moduli spaces and mapping class groups of framed, r-Spin and Pin surfaces

Oscar Randal-Williams

arxiv:1001.5366 v4 · 2010-01-29 · 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{SUO3WDDKGQU2NQFPOL6CTI6A22}

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	2026-05-18T02:24:39.352239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

951dbb0c6a3429a6c0af72fc29a3c0d685033af3115b0f2fedbb779d6b9e9d97

Aliases

arxiv: 1001.5366 · arxiv_version: 1001.5366v4 · doi: 10.48550/arxiv.1001.5366 · pith_short_12: SUO3WDDKGQU2 · pith_short_16: SUO3WDDKGQU2NQFP · pith_short_8: SUO3WDDK

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/SUO3WDDKGQU2NQFPOL6CTI6A22 \
  | 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: 951dbb0c6a3429a6c0af72fc29a3c0d685033af3115b0f2fedbb779d6b9e9d97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a7bf6ac2189f5438eae2c37b31f38543462f993eaa434f650c279e095912311",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-01-29T09:39:39Z",
    "title_canon_sha256": "19823c9c23742cf274b87ade82814d5619871ba59375c1f8e98b928fb9f438bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5366",
    "kind": "arxiv",
    "version": 4
  }
}