Pith Number

pith:6XAEGGUI

pith:2013:6XAEGGUIPQUXIQ5F25DF5NCGDP

not attested not anchored not stored refs pending

Perfect squares have at most five divisors close to its square root

Tsz Ho Chan

arxiv:1303.2069 v1 · 2013-03-08 · 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{6XAEGGUIPQUXIQ5F25DF5NCGDP}

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	2026-05-18T03:31:31.454164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5c0431a887c297443a5d7465eb4461bc6ca9961b84a6db171f0241118faa989

Aliases

arxiv: 1303.2069 · arxiv_version: 1303.2069v1 · doi: 10.48550/arxiv.1303.2069 · pith_short_12: 6XAEGGUIPQUX · pith_short_16: 6XAEGGUIPQUXIQ5F · pith_short_8: 6XAEGGUI

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/6XAEGGUIPQUXIQ5F25DF5NCGDP \
  | 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: f5c0431a887c297443a5d7465eb4461bc6ca9961b84a6db171f0241118faa989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a64a616d28e21d3de2cbc5eab86800df868a9240ee817db423b8bb1f4b5172b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-08T18:08:58Z",
    "title_canon_sha256": "b43da7e344b536f34a4d934e39de2ee322079c292698901c136bda472e76a3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2069",
    "kind": "arxiv",
    "version": 1
  }
}