Pith Number

pith:PXYG7W2R

pith:2002:PXYG7W2RSV5K7GEKLD4GHILBN4

not attested not anchored not stored refs pending

On the rho invariant for manifolds with boundary

Matthias Lesch, Paul Kirk

arxiv:math/0203097 v2 · 2002-03-11 · math.DG · 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{PXYG7W2RSV5K7GEKLD4GHILBN4}

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	2026-05-18T02:41:33.086780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df06fdb51957aaf988a58f863a1616f1259eacf6eaff08ecf8608fd387a3934

Aliases

arxiv: math/0203097 · arxiv_version: math/0203097v2 · doi: 10.48550/arxiv.math/0203097 · pith_short_12: PXYG7W2RSV5K · pith_short_16: PXYG7W2RSV5K7GEK · pith_short_8: PXYG7W2R

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/PXYG7W2RSV5K7GEKLD4GHILBN4 \
  | 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: 7df06fdb51957aaf988a58f863a1616f1259eacf6eaff08ecf8608fd387a3934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05c60879f12432b1e2da50daeb975286aa9d61de786a84068befd34821ce3b7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-03-11T08:11:42Z",
    "title_canon_sha256": "8d4b39796f85c71680e348e33f1b9a9d4568eb6a4143bb3e48337b5455c602a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203097",
    "kind": "arxiv",
    "version": 2
  }
}