Pith Number

pith:WJCDNYJW

pith:2017:WJCDNYJWIWOJMGXVDIXHQY3KNX

not attested not anchored not stored refs pending

Transversality for local Morse homology with symmetries and applications

Doris Hein, Leonardo Macarini, Umberto L. Hryniewicz

arxiv:1702.04609 v3 · 2017-02-15 · math.SG · math.DS · 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{WJCDNYJWIWOJMGXVDIXHQY3KNX}

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	2026-05-18T00:05:39.868653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b24436e136459c961af51a2e78636a6de57092c278c5eb609c71d8baafc36dd4

Aliases

arxiv: 1702.04609 · arxiv_version: 1702.04609v3 · doi: 10.48550/arxiv.1702.04609 · pith_short_12: WJCDNYJWIWOJ · pith_short_16: WJCDNYJWIWOJMGXV · pith_short_8: WJCDNYJW

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/WJCDNYJWIWOJMGXVDIXHQY3KNX \
  | 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: b24436e136459c961af51a2e78636a6de57092c278c5eb609c71d8baafc36dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24bb71aae2a2e7294cd1607e5186dc50c419c1bbeebc6fa0692efbb70789a3bd",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2017-02-15T13:56:13Z",
    "title_canon_sha256": "8695033daea54dd793cff4984ff5978aa8be48333249b349e708024005b35aca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04609",
    "kind": "arxiv",
    "version": 3
  }
}