Pith Number

pith:ZZUIKR7R

pith:2018:ZZUIKR7R5F6RFW6P2ENRD55DZQ

not attested not anchored not stored refs pending

Factorization Statistics of Restricted Polynomial Specializations over Large Finite Fields

Alexei Entin

arxiv:1810.07512 v2 · 2018-10-17 · 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{ZZUIKR7R5F6RFW6P2ENRD55DZQ}

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	2026-05-17T23:57:31.063466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce688547f1e97d12dbcfd11b11f7a3cc3aec05268cf3d1ee5259494ff27a2278

Aliases

arxiv: 1810.07512 · arxiv_version: 1810.07512v2 · doi: 10.48550/arxiv.1810.07512 · pith_short_12: ZZUIKR7R5F6R · pith_short_16: ZZUIKR7R5F6RFW6P · pith_short_8: ZZUIKR7R

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/ZZUIKR7R5F6RFW6P2ENRD55DZQ \
  | 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: ce688547f1e97d12dbcfd11b11f7a3cc3aec05268cf3d1ee5259494ff27a2278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cded0a616c281b5aac0d62e65cade6516a80dc39507942e494772a6737336d4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-10-17T13:06:18Z",
    "title_canon_sha256": "bfabf01fdd59837b6e7eda9df333d18d39bfe2a42d2ca9c631a6d10ab5f9ed71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07512",
    "kind": "arxiv",
    "version": 2
  }
}