Pith Number

pith:GKSDDFNI

pith:2007:GKSDDFNI24UZ7PX5UVIYAE2K3U

not attested not anchored not stored refs pending

On the divisibility of characteristic classes of non-oriented surface bundles

Johannes Ebert, Oscar Randal-Williams

arxiv:0707.0198 v2 · 2007-07-02 · math.AT · 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{GKSDDFNI24UZ7PX5UVIYAE2K3U}

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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	2026-05-18T04:12:34.225865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a43195a8d7299fbefda55180134add05609d1dc9499b7e995d76e9c2298d64

Aliases

arxiv: 0707.0198 · arxiv_version: 0707.0198v2 · doi: 10.48550/arxiv.0707.0198 · pith_short_12: GKSDDFNI24UZ · pith_short_16: GKSDDFNI24UZ7PX5 · pith_short_8: GKSDDFNI

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/GKSDDFNI24UZ7PX5UVIYAE2K3U \
  | 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: 32a43195a8d7299fbefda55180134add05609d1dc9499b7e995d76e9c2298d64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67f50418c64621eec5aa9c4512d53b79539ff9186ead657303ba8af126256b5e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-07-02T11:46:07Z",
    "title_canon_sha256": "ce0f74f0c2375a102bf8f78f2e9566710fa4f31ca5ec50e61645b2276d1a3c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0198",
    "kind": "arxiv",
    "version": 2
  }
}