Pith Number

pith:U25ZDE2G

pith:2011:U25ZDE2GDWYZ3XB7VRNDFLEDY7

not attested not anchored not stored refs pending

On certain arithmetic properties of Stern polynomials

Maciej Ulas, Oliwia Ulas

arxiv:1102.5109 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{U25ZDE2GDWYZ3XB7VRNDFLEDY7}

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	2026-05-18T04:27:56.236038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6bb9193461db19ddc3fac5a32ac83c7d7758fe59eca570817af12cda23afb9d

Aliases

arxiv: 1102.5109 · arxiv_version: 1102.5109v1 · doi: 10.48550/arxiv.1102.5109 · pith_short_12: U25ZDE2GDWYZ · pith_short_16: U25ZDE2GDWYZ3XB7 · pith_short_8: U25ZDE2G

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/U25ZDE2GDWYZ3XB7VRNDFLEDY7 \
  | 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: a6bb9193461db19ddc3fac5a32ac83c7d7758fe59eca570817af12cda23afb9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc72091733d7c931477ed33e36ca5111a67f56142b8a6c6519625b2c3cb5d3ef",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-24T21:50:17Z",
    "title_canon_sha256": "0058e3ecf9071eb8e63f1936b850aad2cf667f8e14f346a65aa6f16d5ac49267"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5109",
    "kind": "arxiv",
    "version": 1
  }
}