Pith Number

pith:AAAT5FBY

pith:2017:AAAT5FBYLFX2LFITEIKX5STW6Y

not attested not anchored not stored refs pending

Congruences modulo cyclotomic polynomials and algebraic independence for $q$-series

Boris Adamczewski, \'Eric Delaygue, Fr\'ed\'eric Jouhet, Jason P. Bell

arxiv:1701.06378 v1 · 2017-01-23 · 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{AAAT5FBYLFX2LFITEIKX5STW6Y}

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	2026-05-18T00:52:18.584980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00013e9438596fa5951322157eca76f6114e531be37b3dce61df78c88b1a6834

Aliases

arxiv: 1701.06378 · arxiv_version: 1701.06378v1 · doi: 10.48550/arxiv.1701.06378 · pith_short_12: AAAT5FBYLFX2 · pith_short_16: AAAT5FBYLFX2LFIT · pith_short_8: AAAT5FBY

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/AAAT5FBYLFX2LFITEIKX5STW6Y \
  | 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: 00013e9438596fa5951322157eca76f6114e531be37b3dce61df78c88b1a6834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14ff85a71985cdbc1b0d0473c762c12aa248e027e8cb6ed26c27a702ff9575b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-23T13:31:23Z",
    "title_canon_sha256": "1e5ae28e4d68db6f334c8b13a1c1a2714e614e0be12a800e2ccf9eb2a9735292"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.06378",
    "kind": "arxiv",
    "version": 1
  }
}