Pith Number

pith:EHUHM4G3

pith:2018:EHUHM4G3MUBUXJHFWQAMZLGWMM

not attested not anchored not stored refs pending

Congruences for the Coefficients of the Powers of the Euler Product

Edward Y.S. Liu, Jack C.D. Zhao, Julia Q.D. Du

arxiv:1802.01374 v2 · 2018-02-05 · math.CO · 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{EHUHM4G3MUBUXJHFWQAMZLGWMM}

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	2026-05-18T00:21:20.213529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21e87670db65034ba4e5b400ccacd663214e12674bf82c1fcbcd9ab97288669c

Aliases

arxiv: 1802.01374 · arxiv_version: 1802.01374v2 · doi: 10.48550/arxiv.1802.01374 · pith_short_12: EHUHM4G3MUBU · pith_short_16: EHUHM4G3MUBUXJHF · pith_short_8: EHUHM4G3

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/EHUHM4G3MUBUXJHFWQAMZLGWMM \
  | 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: 21e87670db65034ba4e5b400ccacd663214e12674bf82c1fcbcd9ab97288669c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d97ab9ce69e5032318aa553f41e7b6c76dcd88437b70dcc7af9d482d8737662",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-05T13:02:33Z",
    "title_canon_sha256": "5d26a2a1dad30cec1b00c7776c355a7571d87a87bcc96359ba8ad4fe47b5dfa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01374",
    "kind": "arxiv",
    "version": 2
  }
}