Pith Number

pith:FMSH5HZS

pith:2010:FMSH5HZS3N7EKV73V2WY6KSPLD

not attested not anchored not stored refs pending

Noncommutative topology and the world's simplest index theorem

Erik van Erp

arxiv:1001.5299 v2 · 2010-01-29 · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FMSH5HZS3N7EKV73V2WY6KSPLD}

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	2026-05-18T02:09:22.389501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b247e9f32db7e4557fbaead8f2a4f58d892f0fb4e450cd646417f441f274627

Aliases

arxiv: 1001.5299 · arxiv_version: 1001.5299v2 · doi: 10.48550/arxiv.1001.5299 · pith_short_12: FMSH5HZS3N7E · pith_short_16: FMSH5HZS3N7EKV73 · pith_short_8: FMSH5HZS

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/FMSH5HZS3N7EKV73V2WY6KSPLD \
  | 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: 2b247e9f32db7e4557fbaead8f2a4f58d892f0fb4e450cd646417f441f274627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bbd50cb0c00281410b6df8f31051540065a17641d0f52abc285b8480f0f49d1",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-01-29T20:28:23Z",
    "title_canon_sha256": "e98a9938c4a23d8119ff2f685b0d2de71867c4a66fa3906d13e8f1c682c03491"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5299",
    "kind": "arxiv",
    "version": 2
  }
}