pith. sign in
Pith Number

pith:6UU2MUP6

pith:2016:6UU2MUP6ZNEW4FPO22PU22NEMX
not attested not anchored not stored refs pending

Automatic sequences, generalised polynomials, and nilmanifolds

Jakub Byszewski, Jakub Konieczny

arxiv:1610.03900 v1 · 2016-10-12 · math.NT · cs.FL · math.CO · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6UU2MUP6ZNEW4FPO22PU22NEMX}

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 2026-05-18T01:02:23.101705Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f529a651fecb496e15eed69f4d69a465c574286f3eef57b1fcab528065b18ecf

Aliases

arxiv: 1610.03900 · arxiv_version: 1610.03900v1 · doi: 10.48550/arxiv.1610.03900 · pith_short_12: 6UU2MUP6ZNEW · pith_short_16: 6UU2MUP6ZNEW4FPO · pith_short_8: 6UU2MUP6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6UU2MUP6ZNEW4FPO22PU22NEMX \
  | 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: f529a651fecb496e15eed69f4d69a465c574286f3eef57b1fcab528065b18ecf
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "177e1a416409b852eefad18e4c51a407a0e1767c9868598be94efe7b300b2834",
    "cross_cats_sorted": [
      "cs.FL",
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-12T23:38:30Z",
    "title_canon_sha256": "5984876d3b0fb2ca51393016679b2e84d43a0225da3b6966c9ecdbe16d13c817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03900",
    "kind": "arxiv",
    "version": 1
  }
}