Pith Number

pith:OAOW6MXU

pith:2016:OAOW6MXURWMIOVA2IBMXU2WBVS

not attested not anchored not stored refs pending

Divisibility sequences of polynomials and heights estimates

Bartosz Naskr\k{e}cki

arxiv:1609.04750 v1 · 2016-09-15 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAOW6MXURWMIOVA2IBMXU2WBVS}

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	2026-05-18T01:04:17.165699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

701d6f32f48d9887541a40597a6ac1ac83fe0cf6c983a61bd24d7d7a8d91e6f7

Aliases

arxiv: 1609.04750 · arxiv_version: 1609.04750v1 · doi: 10.48550/arxiv.1609.04750 · pith_short_12: OAOW6MXURWMI · pith_short_16: OAOW6MXURWMIOVA2 · pith_short_8: OAOW6MXU

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/OAOW6MXURWMIOVA2IBMXU2WBVS \
  | 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: 701d6f32f48d9887541a40597a6ac1ac83fe0cf6c983a61bd24d7d7a8d91e6f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87a2dfb886caf4be5fc031e83c51cbd120b12c491797aeedcb91f05874429c73",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-15T17:36:04Z",
    "title_canon_sha256": "580f518527372c3f61fa2ba464172826baa41bfda7c5df528840e028391656c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04750",
    "kind": "arxiv",
    "version": 1
  }
}