Pith Number

pith:67F3QINU

pith:2026:67F3QINUAZEUUP2XFRKEZGIYOD

not attested not anchored not stored refs pending

Smooth atlas stratified spaces, K-Homology Orientations, and Gysin maps. Part 2

Markus Banagl, Paolo Piazza, Pierre Albin

arxiv:2605.28620 v1 · 2026-05-27 · math.AT · 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{67F3QINUAZEUUP2XFRKEZGIYOD}

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	2026-05-28T02:04:57.980588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7cbb821b406494a3f572c544c991870d60812d64ca91af70aee4753c1f1847e

Aliases

arxiv: 2605.28620 · arxiv_version: 2605.28620v1 · doi: 10.48550/arxiv.2605.28620 · pith_short_12: 67F3QINUAZEU · pith_short_16: 67F3QINUAZEUUP2X · pith_short_8: 67F3QINU

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/67F3QINUAZEUUP2XFRKEZGIYOD \
  | 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: f7cbb821b406494a3f572c544c991870d60812d64ca91af70aee4753c1f1847e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b898e2356d3fbfa0fdac0158cb790dab4ec8404a0eee7d3fc4a7b94355db9ec3",
    "cross_cats_sorted": [
      "math.DG",
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-05-27T15:29:29Z",
    "title_canon_sha256": "74984ef862d992501105c18216f504ab01690eddca8ad206757d76022f300538"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28620",
    "kind": "arxiv",
    "version": 1
  }
}