Pith Number

pith:UFRGHG3P

pith:2019:UFRGHG3PVK4IG3ZQEBEY2KSQTH

not attested not anchored not stored refs pending

On consecutive 1's in continued fractions expansions of square roots of prime numbers

Maciej Ulas, Piotr Miska

arxiv:1904.03404 v1 · 2019-04-06 · 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{UFRGHG3PVK4IG3ZQEBEY2KSQTH}

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	2026-05-17T23:49:13.521291Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a162639b6faab8836f3020498d2a5099de74285c4e0f67c35b54ac6bdd10edaf

Aliases

arxiv: 1904.03404 · arxiv_version: 1904.03404v1 · doi: 10.48550/arxiv.1904.03404 · pith_short_12: UFRGHG3PVK4I · pith_short_16: UFRGHG3PVK4IG3ZQ · pith_short_8: UFRGHG3P

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/UFRGHG3PVK4IG3ZQEBEY2KSQTH \
  | 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: a162639b6faab8836f3020498d2a5099de74285c4e0f67c35b54ac6bdd10edaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29d2db138ee916034a074db505286d0be7434055cd2ee5cc2573d911e437b7ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-04-06T09:50:47Z",
    "title_canon_sha256": "189d19b98d15f751571d706b7f9d106f3477fc5df61e99f3a626b55d578e4e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.03404",
    "kind": "arxiv",
    "version": 1
  }
}