Pith Number

pith:WENF6J54

pith:2026:WENF6J54SIO2EB3WCBTDZWP3W3

not attested not anchored not stored refs pending

Fatness and Flatness

Arnold Filtser, Hung Le, Marcin Pilipczuk, Micha{\l} Pilipczuk, Nikolas M\"ahlmann

arxiv:2607.21474 v1 · 2026-07-23 · math.CO · cs.DM · cs.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WENF6J54SIO2EB3WCBTDZWP3W3}

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	2026-07-24T01:24:34.868503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11a5f27bc921da2077610663cd9fbb6d24f5ad128709e5455c2a7a931a86a15

Aliases

arxiv: 2607.21474 · arxiv_version: 2607.21474v1 · doi: 10.48550/arxiv.2607.21474 · pith_short_12: WENF6J54SIO2 · pith_short_16: WENF6J54SIO2EB3W · pith_short_8: WENF6J54

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/WENF6J54SIO2EB3WCBTDZWP3W3 \
  | 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: b11a5f27bc921da2077610663cd9fbb6d24f5ad128709e5455c2a7a931a86a15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a1dc96d59498e9864a1181ab3860aa1fca9e750b2f05a7cf0472abd67a8ffc3",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-23T16:16:48Z",
    "title_canon_sha256": "21bf9b6e85a37da86f0002ce145146f63209b601c704969bca5d73e2d8e2f2b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21474",
    "kind": "arxiv",
    "version": 1
  }
}