Pith Number

pith:C7A6V6BZ

pith:2010:C7A6V6BZBYBP5WWMUTL2ZHLJNI

not attested not anchored not stored refs pending

Smooth values of some quadratic polynomials

Filip Najman

arxiv:1005.1535 v1 · 2010-05-10 · 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{C7A6V6BZBYBP5WWMUTL2ZHLJNI}

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	2026-05-18T04:07:52.766683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17c1eaf8390e02fedacca4d7ac9d696a009085d429d73f4c66249908b41c4581

Aliases

arxiv: 1005.1535 · arxiv_version: 1005.1535v1 · doi: 10.48550/arxiv.1005.1535 · pith_short_12: C7A6V6BZBYBP · pith_short_16: C7A6V6BZBYBP5WWM · pith_short_8: C7A6V6BZ

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/C7A6V6BZBYBP5WWMUTL2ZHLJNI \
  | 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: 17c1eaf8390e02fedacca4d7ac9d696a009085d429d73f4c66249908b41c4581

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16231378eebe9ca029dbed77efcaacca7f529f6a0a9f7d25108f4d6b9625ee7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-05-10T13:25:43Z",
    "title_canon_sha256": "ebcd6c1337b6a468b31a8385f042447c03af37391814a65205dbcdfe69712178"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1535",
    "kind": "arxiv",
    "version": 1
  }
}