Pith Number

pith:726UQMIX

pith:2026:726UQMIXBCK6DCQMPRDRW6A6A4

not attested not anchored not stored refs pending

A general bound on $R(C_k,H)$

Andrea Freschi, Stijn Cambie

arxiv:2606.11174 v1 · 2026-06-09 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{726UQMIXBCK6DCQMPRDRW6A6A4}

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	2026-06-10T01:11:15.266571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

febd4831170895e18a0c7c471b781e07262675db9edeabd86a75a765fdf5310e

Aliases

arxiv: 2606.11174 · arxiv_version: 2606.11174v1 · doi: 10.48550/arxiv.2606.11174 · pith_short_12: 726UQMIXBCK6 · pith_short_16: 726UQMIXBCK6DCQM · pith_short_8: 726UQMIX

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/726UQMIXBCK6DCQMPRDRW6A6A4 \
  | 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: febd4831170895e18a0c7c471b781e07262675db9edeabd86a75a765fdf5310e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87c721807928d9e008236d3e82bfc2466b798b99a66d605b71a38dc3f89dde57",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-09T17:50:13Z",
    "title_canon_sha256": "db8f9363d36fa699bd6ee04b012a2ce460ad2a813d2afd74fa064809ea8b5aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11174",
    "kind": "arxiv",
    "version": 1
  }
}