Pith Number

pith:BTLCTVTK

pith:2020:BTLCTVTKJFISB6W2QMNK7A2IMC

not attested not anchored not stored refs pending

Old and new applications of Katona's circle

Peter Frankl

arxiv:2011.14252 v1 · 2020-11-29 · 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{BTLCTVTKJFISB6W2QMNK7A2IMC}

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	2026-07-05T01:55:18.980089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cd629d66a495120fada831aaf834860b97b0764211aada10b5be57cab70ffa8

Aliases

arxiv: 2011.14252 · arxiv_version: 2011.14252v1 · doi: 10.48550/arxiv.2011.14252 · pith_short_12: BTLCTVTKJFIS · pith_short_16: BTLCTVTKJFISB6W2 · pith_short_8: BTLCTVTK

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/BTLCTVTKJFISB6W2QMNK7A2IMC \
  | 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: 0cd629d66a495120fada831aaf834860b97b0764211aada10b5be57cab70ffa8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d51a20c96b478bb6b42d8c84556ea48ac4ac857b28549c20bd8fb77dc5525bbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-11-29T01:43:10Z",
    "title_canon_sha256": "2fd9838f92b19f0afa2cd812641e5fc798c5349f9014ff67a294fd15c082a40d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.14252",
    "kind": "arxiv",
    "version": 1
  }
}