Pith Number

pith:CCNIS3FF

pith:1999:CCNIS3FF2HOKOLPIZFHTLJA62M

not attested not anchored not stored refs pending

Set-polynomials and polynomial extension of the Hales-Jewett Theorem

Alexander Leibman, Vitaly Bergelson

arxiv:math/9907201 v1 · 1999-07-01 · 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{CCNIS3FF2HOKOLPIZFHTLJA62M}

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	2026-05-18T01:05:32.793419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109a896ca5d1dca72de8c94f35a41ed305ee4552208d870c17b9f9abf184bbf4

Aliases

arxiv: math/9907201 · arxiv_version: math/9907201v1 · doi: 10.48550/arxiv.math/9907201 · pith_short_12: CCNIS3FF2HOK · pith_short_16: CCNIS3FF2HOKOLPI · pith_short_8: CCNIS3FF

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/CCNIS3FF2HOKOLPIZFHTLJA62M \
  | 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: 109a896ca5d1dca72de8c94f35a41ed305ee4552208d870c17b9f9abf184bbf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf58fbeed4fc365946867e84384dc14b90f3dbe8abf4cf78f836c04c18dc01bf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "1999-07-01T00:00:00Z",
    "title_canon_sha256": "9f0e55c953f8990c870f0ff3142349858339aa49f229c574dee1bebfb3acb385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907201",
    "kind": "arxiv",
    "version": 1
  }
}