Pith Number

pith:D4PYQM2W

pith:2024:D4PYQM2WL2QEVJZHZNQ7B4ASU7

not attested not anchored not stored refs pending

Fourier transforms and a filtration on the Lagrangian cobordism group of tori

\'Alvaro Mu\~niz-Brea

arxiv:2411.16543 v1 · 2024-11-25 · math.SG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D4PYQM2WL2QEVJZHZNQ7B4ASU7}

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	2026-07-05T09:40:10.881740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f1f8833565ea04aa727cb61f0f012a7cc95bb0d53b9e0c35cba24e0c4ffa12f

Aliases

arxiv: 2411.16543 · arxiv_version: 2411.16543v1 · doi: 10.48550/arxiv.2411.16543 · pith_short_12: D4PYQM2WL2QE · pith_short_16: D4PYQM2WL2QEVJZH · pith_short_8: D4PYQM2W

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/D4PYQM2WL2QEVJZHZNQ7B4ASU7 \
  | 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: 1f1f8833565ea04aa727cb61f0f012a7cc95bb0d53b9e0c35cba24e0c4ffa12f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a99fec75653f16416bcbf74ec46a990295f2f8512787876eb0797a532fcc2241",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2024-11-25T16:28:18Z",
    "title_canon_sha256": "0c2bfb403969ed14a250f743a0cd9a974551068afddfc2d52c0a864d4c4bf456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16543",
    "kind": "arxiv",
    "version": 1
  }
}