Pith Number

pith:K3JKG77T

pith:2025:K3JKG77TSHDFYPDU7PL4TI7NRD

not attested not anchored not stored refs pending

Fractional hypergraph coloring

Margarita Akhmejanova, Sean Longbrake

arxiv:2504.12430 v2 · 2025-04-16 · 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{K3JKG77TSHDFYPDU7PL4TI7NRD}

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	2026-06-09T01:05:06.371198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d2a37ff391c65c3c74fbd7c9a3ed88c7d4ca348d58840ea059a5307b852e4b

Aliases

arxiv: 2504.12430 · arxiv_version: 2504.12430v2 · doi: 10.48550/arxiv.2504.12430 · pith_short_12: K3JKG77TSHDF · pith_short_16: K3JKG77TSHDFYPDU · pith_short_8: K3JKG77T

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/K3JKG77TSHDFYPDU7PL4TI7NRD \
  | 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: 56d2a37ff391c65c3c74fbd7c9a3ed88c7d4ca348d58840ea059a5307b852e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f7f2a9e2394f94258b2e9af1b9e8f6a3e19115b6dea05205889eabbaccda76b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-16T18:59:47Z",
    "title_canon_sha256": "b569d48f192da8e3cc4734cdd2e5d82c694e15b685ca537aaebccccdd848b424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12430",
    "kind": "arxiv",
    "version": 2
  }
}