Pith Number

pith:FDIYLDYS

pith:2015:FDIYLDYSZOQOFMVAZGXKDUTIZ3

not attested not anchored not stored refs pending

The average number of integral points in orbits

Wade Hindes

arxiv:1509.00752 v3 · 2015-09-02 · 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{FDIYLDYSZOQOFMVAZGXKDUTIZ3}

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	2026-05-18T00:33:24.143915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28d1858f12cba0e2b2a0c9aea1d268cefa8c219075e112d611dbf192d8c8a48f

Aliases

arxiv: 1509.00752 · arxiv_version: 1509.00752v3 · doi: 10.48550/arxiv.1509.00752 · pith_short_12: FDIYLDYSZOQO · pith_short_16: FDIYLDYSZOQOFMVA · pith_short_8: FDIYLDYS

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/FDIYLDYSZOQOFMVAZGXKDUTIZ3 \
  | 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: 28d1858f12cba0e2b2a0c9aea1d268cefa8c219075e112d611dbf192d8c8a48f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244f9e5ba715808e45763a18f56db5b0c5e041b70a0803c9a59676934357405d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-02T15:48:31Z",
    "title_canon_sha256": "68640b2483fffa5a8fff03ee36e04e55cd158fb49fd7eb1a451511653ecfc87d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00752",
    "kind": "arxiv",
    "version": 3
  }
}