Pith Number

pith:22NKFANK

pith:2010:22NKFANK6QCOUUCQFLRH5UGLMH

not attested not anchored not stored refs pending

Higher rho-invariants and the surgery structure set

Charlotte Wahl

arxiv:1008.3644 v4 · 2010-08-21 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{22NKFANK6QCOUUCQFLRH5UGLMH}

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	2026-05-18T02:58:01.891276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d69aa281aaf404ea50502ae27ed0cb61d4b465bbaa985376c0800f20fa0ddd8d

Aliases

arxiv: 1008.3644 · arxiv_version: 1008.3644v4 · doi: 10.48550/arxiv.1008.3644 · pith_short_12: 22NKFANK6QCO · pith_short_16: 22NKFANK6QCOUUCQ · pith_short_8: 22NKFANK

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/22NKFANK6QCOUUCQFLRH5UGLMH \
  | 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: d69aa281aaf404ea50502ae27ed0cb61d4b465bbaa985376c0800f20fa0ddd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386016b8aeeaf5952661154790c6b67a7852578b4189f687a312c8f5e8e38395",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-08-21T16:36:10Z",
    "title_canon_sha256": "5ad640d4f1e2450f3a31539b71623c62284bda5d4b9e98b4d78f3d7a08286aef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3644",
    "kind": "arxiv",
    "version": 4
  }
}