Pith Number

pith:RAKSGAKT

pith:2017:RAKSGAKTERRAVL33NGC7POWRHT

not attested not anchored not stored refs pending

Shatter functions with polynomial growth rates

Boris Bukh, Xavier Goaoc

arxiv:1701.06632 v1 · 2017-01-23 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RAKSGAKTERRAVL33NGC7POWRHT}

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	2026-05-18T00:52:12.520910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881523015324620aaf7b6985f7bad13ce0b1a16243e2178518920a97f36cf5ed

Aliases

arxiv: 1701.06632 · arxiv_version: 1701.06632v1 · doi: 10.48550/arxiv.1701.06632 · pith_short_12: RAKSGAKTERRA · pith_short_16: RAKSGAKTERRAVL33 · pith_short_8: RAKSGAKT

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/RAKSGAKTERRAVL33NGC7POWRHT \
  | 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: 881523015324620aaf7b6985f7bad13ce0b1a16243e2178518920a97f36cf5ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59e3db7cd908ab386fac4f36639bc86bf537009a391ef632ac5051e566124696",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-23T21:07:56Z",
    "title_canon_sha256": "8e56a273ae0821bf16d719b9e5dcdaa04e0f839c41b67666efa34b4356e03065"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06632",
    "kind": "arxiv",
    "version": 1
  }
}