Pith Number

pith:TJQVW56O

pith:2010:TJQVW56O4OX23PGJSCWOY7YMCF

not attested not anchored not stored refs pending

The Radio Number of $C_n \square C_n$

Aaron Yeager, Cindy Wyels, Maggy Tomova, Marc Morris-Rivera

arxiv:1007.5344 v1 · 2010-07-29 · 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{TJQVW56O4OX23PGJSCWOY7YMCF}

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	2026-05-18T04:42:45.384754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a615b77cee3afadbcc990acec7f0c115eb08cc18693a9a6818f3341873a7e9f

Aliases

arxiv: 1007.5344 · arxiv_version: 1007.5344v1 · doi: 10.48550/arxiv.1007.5344 · pith_short_12: TJQVW56O4OX2 · pith_short_16: TJQVW56O4OX23PGJ · pith_short_8: TJQVW56O

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/TJQVW56O4OX23PGJSCWOY7YMCF \
  | 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: 9a615b77cee3afadbcc990acec7f0c115eb08cc18693a9a6818f3341873a7e9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5bf5d2f790b3bd81e0dffb3285d110e18dac56f1590c3a85cde1f07a6858683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-29T22:30:18Z",
    "title_canon_sha256": "ac23dc60ff7fe63db68ac627c53a93cdca9f4f4873c5f8e829fe8554bc6b2958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5344",
    "kind": "arxiv",
    "version": 1
  }
}