Pith Number

pith:NKV6XZOV

pith:2006:NKV6XZOVRVTE4LXHDP56WKLKDN

not attested not anchored not stored refs pending

Boundaries, eta invariant and the determinant bundle

Frederic Rochon, Richard Melrose

arxiv:math/0607480 v2 · 2006-07-19 · math.DG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKV6XZOVRVTE4LXHDP56WKLKDN}

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	2026-05-18T04:08:53.341510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aabebe5d58d664e2ee71bfbeb296a1b4852f360805ad0d7e47a96e5850d03f2

Aliases

arxiv: math/0607480 · arxiv_version: math/0607480v2 · doi: 10.48550/arxiv.math/0607480 · pith_short_12: NKV6XZOVRVTE · pith_short_16: NKV6XZOVRVTE4LXH · pith_short_8: NKV6XZOV

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/NKV6XZOVRVTE4LXHDP56WKLKDN \
  | 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: 6aabebe5d58d664e2ee71bfbeb296a1b4852f360805ad0d7e47a96e5850d03f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "378b405e14b19d33a88d7cbcf6d574d0979847b48ef36a748c3aaf078ce45e80",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-07-19T21:43:04Z",
    "title_canon_sha256": "050dfb7886ea98ab0dda4676982bff03836ab1869b545dae5ca1944bd08853a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607480",
    "kind": "arxiv",
    "version": 2
  }
}