Pith Number

pith:SFKB4SNS

pith:2010:SFKB4SNSAEIPGPZIEKLFHEK52M

not attested not anchored not stored refs pending

The additivity of the $\rho$-invariant and periodicity in topological surgery

Diarmuid Crowley, Tibor Macko

arxiv:1002.1917 v2 · 2010-02-09 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SFKB4SNSAEIPGPZIEKLFHEK52M}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:41:50.951372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91541e49b20110f33f28229653915dd312d5a8701eb053eff2a759af1b460f20

Aliases

arxiv: 1002.1917 · arxiv_version: 1002.1917v2 · doi: 10.48550/arxiv.1002.1917 · pith_short_12: SFKB4SNSAEIP · pith_short_16: SFKB4SNSAEIPGPZI · pith_short_8: SFKB4SNS

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/SFKB4SNSAEIPGPZIEKLFHEK52M \
  | 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: 91541e49b20110f33f28229653915dd312d5a8701eb053eff2a759af1b460f20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21df78128e4d93f10cdd13f333be80400a71db5bbcae1ca604ce2474a30ab573",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-02-09T17:05:57Z",
    "title_canon_sha256": "38420679958064fa63f63286ca662820f1cade9c4ad0858a5835a141f3b86d0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1917",
    "kind": "arxiv",
    "version": 2
  }
}