Pith Number

pith:VRVHIL5F

pith:2018:VRVHIL5FUVHBF75LFKBHFQBDRA

not attested not anchored not stored refs pending

Truncated Euler polynomials

Claudio de J. Pita Ruiz, Takao Komatsu

arxiv:1802.07526 v1 · 2018-02-21 · 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{VRVHIL5FUVHBF75LFKBHFQBDRA}

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	2026-05-18T00:22:50.047775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac6a742fa5a54e12ffab2a8272c023881f589d36c93cddbe0a02f3367c3b8a02

Aliases

arxiv: 1802.07526 · arxiv_version: 1802.07526v1 · doi: 10.48550/arxiv.1802.07526 · pith_short_12: VRVHIL5FUVHB · pith_short_16: VRVHIL5FUVHBF75L · pith_short_8: VRVHIL5F

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/VRVHIL5FUVHBF75LFKBHFQBDRA \
  | 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: ac6a742fa5a54e12ffab2a8272c023881f589d36c93cddbe0a02f3367c3b8a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b2b93a91be92ae73a253357c45f8d2ff2328b1044a4f34b9218566512083305",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-21T11:49:16Z",
    "title_canon_sha256": "4112bcfadfe333df4c4cf1d390a52c914283d591e5c426cce9f38e7b562c19d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07526",
    "kind": "arxiv",
    "version": 1
  }
}