Pith Number

pith:VS5WKPIV

pith:2019:VS5WKPIVVWNNOPU2AR62KAJHDV

not attested not anchored not stored refs pending

Zeros of certain combinations of Eisenstein series of weight 2k, 3k, and k + l

Jetjaroen Klangwang

arxiv:1907.04259 v1 · 2019-07-09 · 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{VS5WKPIVVWNNOPU2AR62KAJHDV}

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	2026-05-17T23:41:02.846069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

acbb653d15ad9ad73e9a047da501271d40654706ce9adb9275a580dfdea90f71

Aliases

arxiv: 1907.04259 · arxiv_version: 1907.04259v1 · doi: 10.48550/arxiv.1907.04259 · pith_short_12: VS5WKPIVVWNN · pith_short_16: VS5WKPIVVWNNOPU2 · pith_short_8: VS5WKPIV

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/VS5WKPIVVWNNOPU2AR62KAJHDV \
  | 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: acbb653d15ad9ad73e9a047da501271d40654706ce9adb9275a580dfdea90f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c529be79bf64179168a4c94cdd6ef84890f7e12385d68197ef03dc481f7fb0b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-09T15:51:57Z",
    "title_canon_sha256": "a588725dc1a54d485943aedd89054370a6889c7d0bdf26451fc3befd96f0582d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.04259",
    "kind": "arxiv",
    "version": 1
  }
}