Pith Number

pith:PKAZUTN5

pith:2021:PKAZUTN5LKS7CHSRY6L3Z2EWBW

not attested not anchored not stored refs pending

Asymptotic distribution of odd-balanced unimodal sequences with rank congruent to a mod c

Taylor Garnowski

arxiv:2106.10320 v2 · 2021-06-18 · 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{PKAZUTN5LKS7CHSRY6L3Z2EWBW}

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	2026-07-05T03:54:00.905436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a819a4dbd5aa5f11e51c797bce8960db0fb99b399fd07064cd11bd784f55531

Aliases

arxiv: 2106.10320 · arxiv_version: 2106.10320v2 · doi: 10.48550/arxiv.2106.10320 · pith_short_12: PKAZUTN5LKS7 · pith_short_16: PKAZUTN5LKS7CHSR · pith_short_8: PKAZUTN5

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/PKAZUTN5LKS7CHSRY6L3Z2EWBW \
  | 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: 7a819a4dbd5aa5f11e51c797bce8960db0fb99b399fd07064cd11bd784f55531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a42ab7f9277e90685adbf893b9848a62275a66fa4ebfab7335489e3d884aa93c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-06-18T19:20:34Z",
    "title_canon_sha256": "9a0ac323f10b3ac72d69785d180fa310c67153f8cde6c5100a79a39bf354eb6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.10320",
    "kind": "arxiv",
    "version": 2
  }
}