Pith Number

pith:NQP6NIGZ

pith:2025:NQP6NIGZSDNWBC3Z6ZJORUHPBC

not attested not anchored not stored refs pending

A partitioned manifold index theorem for noncompact hypersurfaces

Peter Hochs, Thijs de Kok

arxiv:2507.16591 v2 · 2025-07-22 · math.DG · math.KT · 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{NQP6NIGZSDNWBC3Z6ZJORUHPBC}

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	2026-07-05T11:45:37.946258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c1fe6a0d990db608b79f652e8d0ef08bfb7e08f5d9cd53f20495c29432e6b2e

Aliases

arxiv: 2507.16591 · arxiv_version: 2507.16591v2 · doi: 10.48550/arxiv.2507.16591 · pith_short_12: NQP6NIGZSDNW · pith_short_16: NQP6NIGZSDNWBC3Z · pith_short_8: NQP6NIGZ

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/NQP6NIGZSDNWBC3Z6ZJORUHPBC \
  | 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: 6c1fe6a0d990db608b79f652e8d0ef08bfb7e08f5d9cd53f20495c29432e6b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afb758a86451f47796231949c86e2df4c36d59e65139c27776442f483aeec8a7",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-22T13:47:56Z",
    "title_canon_sha256": "4b900d348d52065b3ef8586b680f563f373a0127a4f27c4cad85df64b51c5c5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.16591",
    "kind": "arxiv",
    "version": 2
  }
}