Pith Number

pith:HHZXAX7J

pith:2012:HHZXAX7JMJFVN6MANADSG5MVQ4

not attested not anchored not stored refs pending

Inclusion-exclusion polynomials with large coefficients

Bartlomiej Bzdega

arxiv:1202.0257 v1 · 2012-02-01 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HHZXAX7JMJFVN6MANADSG5MVQ4}

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	2026-05-18T02:47:51.266145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39f3705fe9624b56f9806807237595872914fa64994d5eb006c0c5e7bbafe922

Aliases

arxiv: 1202.0257 · arxiv_version: 1202.0257v1 · doi: 10.48550/arxiv.1202.0257 · pith_short_12: HHZXAX7JMJFV · pith_short_16: HHZXAX7JMJFVN6MA · pith_short_8: HHZXAX7J

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/HHZXAX7JMJFVN6MANADSG5MVQ4 \
  | 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: 39f3705fe9624b56f9806807237595872914fa64994d5eb006c0c5e7bbafe922

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d2e4dd3311ce6ba2b6f5aa7e7fb54b13cedd48db3ab066e5caa9acbcd6556a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-02-01T19:51:44Z",
    "title_canon_sha256": "2e878957b49a422f7bec294fa6f0903c7700135afaec91deb7e38eea22a4fc7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0257",
    "kind": "arxiv",
    "version": 1
  }
}