Pith Number

pith:HFGSHU55

pith:2026:HFGSHU55SY44FNTIUG7IYDU7QE

not attested not anchored not stored refs pending

On Lefschetz's point-free periodicity

Alejandro O. Majadas-Moure

arxiv:2606.26877 v1 · 2026-06-25 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFGSHU55SY44FNTIUG7IYDU7QE}

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	2026-06-26T01:16:02.642773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394d23d3bd9639c2b668a1be8c0e9f81208e6da7f822499a1a74d96f16531ad8

Aliases

arxiv: 2606.26877 · arxiv_version: 2606.26877v1 · doi: 10.48550/arxiv.2606.26877 · pith_short_12: HFGSHU55SY44 · pith_short_16: HFGSHU55SY44FNTI · pith_short_8: HFGSHU55

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/HFGSHU55SY44FNTIUG7IYDU7QE \
  | 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: 394d23d3bd9639c2b668a1be8c0e9f81208e6da7f822499a1a74d96f16531ad8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01b3c82e5381c33e90dd62db006f521dd66199aebb68fca0d3e872d2d385979f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-25T11:06:49Z",
    "title_canon_sha256": "8d0cb9fc03a2dc8b8581ed7361d8cc5515d22c41963850f57cb043a8e3ce5863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.26877",
    "kind": "arxiv",
    "version": 1
  }
}