Pith Number

pith:5Y5FNCAV

pith:2026:5Y5FNCAVXJVUFJPCEKNXX4LITV

not attested not anchored not stored refs pending

A note on the extremal number of Berge-$C_4$

Casey Tompkins, Nika Salia

arxiv:2606.07126 v1 · 2026-06-05 · 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{5Y5FNCAVXJVUFJPCEKNXX4LITV}

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	2026-06-08T01:04:47.793462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3a568815ba6b42a5e2229b7bf1689d4f611509aa759b6a8acad8733102c471

Aliases

arxiv: 2606.07126 · arxiv_version: 2606.07126v1 · doi: 10.48550/arxiv.2606.07126 · pith_short_12: 5Y5FNCAVXJVU · pith_short_16: 5Y5FNCAVXJVUFJPC · pith_short_8: 5Y5FNCAV

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/5Y5FNCAVXJVUFJPCEKNXX4LITV \
  | 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: ee3a568815ba6b42a5e2229b7bf1689d4f611509aa759b6a8acad8733102c471

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e3ae465ee8aaefcfa461983e20f91216b359a0ad037ef3c08859db6704799a9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-05T10:33:44Z",
    "title_canon_sha256": "44f081c9dfad1046f5dd7f103bdd23861540f751e2defac667e44f179c6722ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07126",
    "kind": "arxiv",
    "version": 1
  }
}