pith. sign in
Pith Number

pith:7UGNCYZH

pith:2013:7UGNCYZH42ZUB2TXJK453GE3MN
not attested not anchored not stored refs pending

Singular values of multiple eta-quotients for ramified primes

Andreas Enge (INRIA Bordeaux - Sud-Ouest), Reinhard Schertz

arxiv:1301.5521 v2 · 2013-01-23 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7UGNCYZH42ZUB2TXJK453GE3MN}

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 2026-05-18T03:18:06.168994Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

fd0cd16327e6b340ea774ab9dd989b637cb95e3c6bb31de51f600acb5197d548

Aliases

arxiv: 1301.5521 · arxiv_version: 1301.5521v2 · doi: 10.48550/arxiv.1301.5521 · pith_short_12: 7UGNCYZH42ZU · pith_short_16: 7UGNCYZH42ZUB2TX · pith_short_8: 7UGNCYZH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7UGNCYZH42ZUB2TXJK453GE3MN \
  | 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: fd0cd16327e6b340ea774ab9dd989b637cb95e3c6bb31de51f600acb5197d548
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "032c2c6a393f6b0721101978a36880b8dc6d444fb42dd18b37a6be51110c2762",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-01-23T14:54:46Z",
    "title_canon_sha256": "a531d1afe3f24eb2e478e7864f1c269e479319b2d39fab9c0fe857a0929e7fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5521",
    "kind": "arxiv",
    "version": 2
  }
}