Pith Number

pith:LONLESFF

pith:2021:LONLESFFIR55T7AMBAJWN5HWHU

not attested not anchored not stored refs pending

Derivatives and Integrals of Polynomials Associated with Integer Partitions

Dannie Urban, Madeline Locus Dawsey, Tyler Russell

arxiv:2108.00943 v2 · 2021-08-02 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LONLESFFIR55T7AMBAJWN5HWHU}

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	2026-07-05T04:31:10.973471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9ab248a5447bd9fc0c081366f4f63d2617b898deea83683c325c945a496dda

Aliases

arxiv: 2108.00943 · arxiv_version: 2108.00943v2 · doi: 10.48550/arxiv.2108.00943 · pith_short_12: LONLESFFIR55 · pith_short_16: LONLESFFIR55T7AM · pith_short_8: LONLESFF

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/LONLESFFIR55T7AMBAJWN5HWHU \
  | 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: 5b9ab248a5447bd9fc0c081366f4f63d2617b898deea83683c325c945a496dda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "691946e55e4751c37cae9070996d4ff6b2019dc5730b8b80d3ac742d8ec63044",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-08-02T14:45:10Z",
    "title_canon_sha256": "caa4a49d786bccdda4f099ee072bc8307e99497b3d5381bac7aba95b352bf413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.00943",
    "kind": "arxiv",
    "version": 2
  }
}