Pith Number

pith:MVUZDZN7

pith:2019:MVUZDZN75B6EZQLHZVIDVNLREI

not attested not anchored not stored refs pending

Legendre's formula and $p$-adic analysis

Gennady Eremin

arxiv:1907.11902 v1 · 2019-07-27 · 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{MVUZDZN75B6EZQLHZVIDVNLREI}

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	2026-05-17T23:39:22.589257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

656991e5bfe87c4cc167cd503ab571222545ef2479c1f70c8e610ec86293611b

Aliases

arxiv: 1907.11902 · arxiv_version: 1907.11902v1 · doi: 10.48550/arxiv.1907.11902 · pith_short_12: MVUZDZN75B6E · pith_short_16: MVUZDZN75B6EZQLH · pith_short_8: MVUZDZN7

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/MVUZDZN75B6EZQLHZVIDVNLREI \
  | 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: 656991e5bfe87c4cc167cd503ab571222545ef2479c1f70c8e610ec86293611b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48648db14afe66ad6b897ac07d4bc2abcd588007031b3184a67a18f5359e23d3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-27T12:11:27Z",
    "title_canon_sha256": "653789306a8d386e1508b87669f59ac80a63147e136e2d39a86be16e104e2a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11902",
    "kind": "arxiv",
    "version": 1
  }
}