Pith Number

pith:KF5PZNHX

pith:2018:KF5PZNHXMGQY55UCAK6AZ7THEX

not attested not anchored not stored refs pending

A note on $p$-adic locally analytic functions with application to behavior of the $p$-adic valuations of Stirling numbers

Piotr Miska

arxiv:1803.04533 v1 · 2018-03-12 · 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{KF5PZNHXMGQY55UCAK6AZ7THEX}

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	2026-05-18T00:21:18.797086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

517afcb4f761a18ef68202bc0cfe6725faae99d79f3c56af03a5155b080178ab

Aliases

arxiv: 1803.04533 · arxiv_version: 1803.04533v1 · doi: 10.48550/arxiv.1803.04533 · pith_short_12: KF5PZNHXMGQY · pith_short_16: KF5PZNHXMGQY55UC · pith_short_8: KF5PZNHX

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/KF5PZNHXMGQY55UCAK6AZ7THEX \
  | 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: 517afcb4f761a18ef68202bc0cfe6725faae99d79f3c56af03a5155b080178ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1272238ee50f36bded2ba2ffeaa438d60fbd2e0dcd2f5028b55eb3cf31f1f1b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-12T21:03:19Z",
    "title_canon_sha256": "0983df0cdd0a17c97ca974ce91d88cc6cfd847cd8a11687f2f930e5aa3354978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04533",
    "kind": "arxiv",
    "version": 1
  }
}