Pith Number

pith:Z7B5GX2D

pith:2026:Z7B5GX2DVDP45NUZKLMVUECMQX

not attested not anchored not stored refs pending

The Free Lunch Theorem of Homogenisation

Andreas Buchinger, Marcus Waurick, Marianna Porfido

arxiv:2606.04498 v1 · 2026-06-03 · math.AP · math-ph · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z7B5GX2DVDP45NUZKLMVUECMQX}

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	2026-06-04T01:09:14.448909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc3d35f43a8dfceb69952d95a104c85c4b8f45b279c66a978d76b310b6ce271

Aliases

arxiv: 2606.04498 · arxiv_version: 2606.04498v1 · doi: 10.48550/arxiv.2606.04498 · pith_short_12: Z7B5GX2DVDP4 · pith_short_16: Z7B5GX2DVDP45NUZ · pith_short_8: Z7B5GX2D

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/Z7B5GX2DVDP45NUZKLMVUECMQX \
  | 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: cfc3d35f43a8dfceb69952d95a104c85c4b8f45b279c66a978d76b310b6ce271

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad96002b9bc0cc5c4ac8905567a96dc132664db2273f30dc99e1cda4ed7bf89",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-03T06:26:05Z",
    "title_canon_sha256": "452122bc6f8cfaea5b85029b1d433742375b9d17636d1275e89edac03825b71e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04498",
    "kind": "arxiv",
    "version": 1
  }
}