Pith Number

pith:Q2LMB5G7

pith:2022:Q2LMB5G73YR324EZYRAGZS4P2C

not attested not anchored not stored refs pending

Saturation for the $3$-uniform loose $3$-cycle

Alexandr Kostochka, Dara Zirlin, Sean English

arxiv:2202.07149 v1 · 2022-02-15 · 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{Q2LMB5G73YR324EZYRAGZS4P2C}

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	2026-07-05T03:56:57.009581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8696c0f4dfde23bd7099c4406ccb8fd0a278bffe40e902fc727c3166697dcf08

Aliases

arxiv: 2202.07149 · arxiv_version: 2202.07149v1 · doi: 10.48550/arxiv.2202.07149 · pith_short_12: Q2LMB5G73YR3 · pith_short_16: Q2LMB5G73YR324EZ · pith_short_8: Q2LMB5G7

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/Q2LMB5G73YR324EZYRAGZS4P2C \
  | 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: 8696c0f4dfde23bd7099c4406ccb8fd0a278bffe40e902fc727c3166697dcf08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20cf6ed3df5e825bad3cf2f92cad7eef59cbc7f0cb7b78cb7952ff4a2a63757f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-02-15T02:49:26Z",
    "title_canon_sha256": "60f911b41b136f3f590fec7315589820c03532456cb1bcdc0fefad95d7b8f1d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.07149",
    "kind": "arxiv",
    "version": 1
  }
}