Pith Number

pith:ZAJJM72L

pith:2011:ZAJJM72LQGSS2PMGE7LGKA6ZWZ

not attested not anchored not stored refs pending

Powerfree Values of Polynomials

D.R. Heath-Brown

arxiv:1103.2028 v1 · 2011-03-10 · 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{ZAJJM72LQGSS2PMGE7LGKA6ZWZ}

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	2026-05-18T04:27:03.137219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c812967f4b81a52d3d8627d66503d9b66648b2f586d54da23c4f62eb140dc700

Aliases

arxiv: 1103.2028 · arxiv_version: 1103.2028v1 · doi: 10.48550/arxiv.1103.2028 · pith_short_12: ZAJJM72LQGSS · pith_short_16: ZAJJM72LQGSS2PMG · pith_short_8: ZAJJM72L

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/ZAJJM72LQGSS2PMGE7LGKA6ZWZ \
  | 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: c812967f4b81a52d3d8627d66503d9b66648b2f586d54da23c4f62eb140dc700

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50432f23f635c1b2199ec90baf6fe934bc426ee8b15d1d7cf57664f170e77c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-10T13:14:23Z",
    "title_canon_sha256": "8f0378eedff024c27af14a91072cf410cc556f99281b6e67aa1506f7881e0d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2028",
    "kind": "arxiv",
    "version": 1
  }
}