Pith Number

pith:AV2KHPJJ

pith:2011:AV2KHPJJVRDL7TFN7A5FJYE25I

not attested not anchored not stored refs pending

Arithmetic properties of the sequence of degrees of Stern polynomials and related results

Maciej Ulas

arxiv:1102.5111 v1 · 2011-02-24 · math.CO · 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{AV2KHPJJVRDL7TFN7A5FJYE25I}

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	2026-05-18T04:27:56.228525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0574a3bd29ac46bfccadf83a54e09aea2790f3c6c15c442cb95136daaecd7665

Aliases

arxiv: 1102.5111 · arxiv_version: 1102.5111v1 · doi: 10.48550/arxiv.1102.5111 · pith_short_12: AV2KHPJJVRDL · pith_short_16: AV2KHPJJVRDL7TFN · pith_short_8: AV2KHPJJ

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/AV2KHPJJVRDL7TFN7A5FJYE25I \
  | 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: 0574a3bd29ac46bfccadf83a54e09aea2790f3c6c15c442cb95136daaecd7665

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f36dbc63360ee530569e957fade855b6be47bb2e3d6d48d935b985ad795454",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-24T21:52:58Z",
    "title_canon_sha256": "60fa22326bb2da8abf1ffc952d35776951abff4d5887a1903e2feca1f2d97345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5111",
    "kind": "arxiv",
    "version": 1
  }
}