Pith Number

pith:ZGX2DTHO

pith:2023:ZGX2DTHOVN3U2IY4TKMGQPDRGS

not attested not anchored not stored refs pending

Equivariant Floer homotopy via Morse-Bott theory

Laurent C\^ot\'e, Yusuf Bar{\i}\c{s} Kartal

arxiv:2309.15089 v2 · 2023-09-26 · math.AT · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGX2DTHOVN3U2IY4TKMGQPDRGS}

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	2026-07-05T07:52:59.193544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9afa1cceeab774d231c9a98683c7134a3a0f2f1d7bc8dd89fdcede2b849fac8

Aliases

arxiv: 2309.15089 · arxiv_version: 2309.15089v2 · doi: 10.48550/arxiv.2309.15089 · pith_short_12: ZGX2DTHOVN3U · pith_short_16: ZGX2DTHOVN3U2IY4 · pith_short_8: ZGX2DTHO

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/ZGX2DTHOVN3U2IY4TKMGQPDRGS \
  | 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: c9afa1cceeab774d231c9a98683c7134a3a0f2f1d7bc8dd89fdcede2b849fac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4b47b0e3c1a26782c49918c26c5d986f36980f9d45eed2d961daf065c5b5cf",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-09-26T17:32:04Z",
    "title_canon_sha256": "3b086eb3075ef2f698149d6f629973e532baeea1c19c2e3c5d0c1d41554a07d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.15089",
    "kind": "arxiv",
    "version": 2
  }
}