Pith Number

pith:PQJ7QXCD

pith:2011:PQJ7QXCDGV5Z4AZ37LSGTNJMVY

not attested not anchored not stored refs pending

On the characterization of minimal value set polynomials

Herivelto Borges, Ricardo Concei\c{c}\~ao

arxiv:1108.1852 v1 · 2011-08-09 · 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{PQJ7QXCDGV5Z4AZ37LSGTNJMVY}

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	2026-05-18T04:15:58.997463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c13f85c43357b9e033bfae469b52cae3a41372d82f40f7bab51ac19c43ad267

Aliases

arxiv: 1108.1852 · arxiv_version: 1108.1852v1 · doi: 10.48550/arxiv.1108.1852 · pith_short_12: PQJ7QXCDGV5Z · pith_short_16: PQJ7QXCDGV5Z4AZ3 · pith_short_8: PQJ7QXCD

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/PQJ7QXCDGV5Z4AZ37LSGTNJMVY \
  | 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: 7c13f85c43357b9e033bfae469b52cae3a41372d82f40f7bab51ac19c43ad267

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977bed3e3206d2ff7741de92066ffdf9edbeb18d7ec72e7cef6d421d53b6b25f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-09T03:32:38Z",
    "title_canon_sha256": "20303fe8cc6d622561a293b3d7518ad247ad41746a7e2a9abfb9576829b66e63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1852",
    "kind": "arxiv",
    "version": 1
  }
}