Pith Number

pith:Q7S7EU52

pith:2016:Q7S7EU52PAEFFPCNEFGVLLOUVC

not attested not anchored not stored refs pending

Linear Incongruences for Generalized Eta-Quotients

Steffen L\"obrich

arxiv:1612.06213 v2 · 2016-12-19 · 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{Q7S7EU52PAEFFPCNEFGVLLOUVC}

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	2026-05-18T00:18:26.976949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e5f253ba780852bc4d214d55add4a8a58b71174df5de8eb4bc84f4b1557b9c

Aliases

arxiv: 1612.06213 · arxiv_version: 1612.06213v2 · doi: 10.48550/arxiv.1612.06213 · pith_short_12: Q7S7EU52PAEF · pith_short_16: Q7S7EU52PAEFFPCN · pith_short_8: Q7S7EU52

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/Q7S7EU52PAEFFPCNEFGVLLOUVC \
  | 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: 87e5f253ba780852bc4d214d55add4a8a58b71174df5de8eb4bc84f4b1557b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a62ddc33daeeec0cea945fd6efb06e35e6c085dc669b88ec1cec89a373194f20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-12-19T14:59:34Z",
    "title_canon_sha256": "0e6078d198eb13fbdc097271fe9f788eeb2ca91eddd4fb7ed2684c1efaab1ec4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06213",
    "kind": "arxiv",
    "version": 2
  }
}