Pith Number

pith:UUXCKRPT

pith:2017:UUXCKRPTKT4KL3LNKWXGPC6JVU

not attested not anchored not stored refs pending

Index divisibility in the orbit of 0 for integral polynomials

Michael T. Urbanski, T. Alden Gassert

arxiv:1709.08751 v1 · 2017-09-25 · 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{UUXCKRPTKT4KL3LNKWXGPC6JVU}

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	2026-05-18T00:34:21.970746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52e2545f354f8a5ed6d55ae678bc9ad282aa16f3e6edc3c87116cd90cbf414c

Aliases

arxiv: 1709.08751 · arxiv_version: 1709.08751v1 · doi: 10.48550/arxiv.1709.08751 · pith_short_12: UUXCKRPTKT4K · pith_short_16: UUXCKRPTKT4KL3LN · pith_short_8: UUXCKRPT

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/UUXCKRPTKT4KL3LNKWXGPC6JVU \
  | 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: a52e2545f354f8a5ed6d55ae678bc9ad282aa16f3e6edc3c87116cd90cbf414c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6980472fd08e9ab8adc4686baa40f326cc427285fcd1b8b22ea3a8c0919715",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-25T23:31:32Z",
    "title_canon_sha256": "931e66f427373d4122106a9c40e4652c3fb6402c75934315df191cd119d47a08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08751",
    "kind": "arxiv",
    "version": 1
  }
}