Pith Number

pith:VOD74KQG

pith:2015:VOD74KQGNCVCZA3AFT5ZAUBGJY

not attested not anchored not stored refs pending

Quasipolynomial Solutions to the Hofstadter Q-Recurrence

Nathan Fox

arxiv:1511.06484 v1 · 2015-11-20 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOD74KQGNCVCZA3AFT5ZAUBGJY}

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	2026-05-18T01:26:24.427566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab87fe2a0668aa2c83602cfb9050264e0ab2bcbb5c6fb89af3916adb52c3d37f

Aliases

arxiv: 1511.06484 · arxiv_version: 1511.06484v1 · doi: 10.48550/arxiv.1511.06484 · pith_short_12: VOD74KQGNCVC · pith_short_16: VOD74KQGNCVCZA3A · pith_short_8: VOD74KQG

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/VOD74KQGNCVCZA3AFT5ZAUBGJY \
  | 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: ab87fe2a0668aa2c83602cfb9050264e0ab2bcbb5c6fb89af3916adb52c3d37f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "277b04fdfbbef9f01dd2235004c757eace8370817d1d9dffb684ae463909ebba",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-20T03:52:27Z",
    "title_canon_sha256": "27b7993f2b840443ef068e06719ae6af92333462b2525b243d5840b692f14a21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06484",
    "kind": "arxiv",
    "version": 1
  }
}