Pith Number

pith:C4XH6SI5

pith:2015:C4XH6SI5RH5J5E3O7GGBBTDPFM

not attested not anchored not stored refs pending

Factoring polynomials of the form $f(x^n)\in \mathbb{F}_q[x]$

F.E. Brochero Mart\'inez, Lucas Reis

arxiv:1511.08918 v1 · 2015-11-28 · 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{C4XH6SI5RH5J5E3O7GGBBTDPFM}

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	2026-05-18T01:25:46.111176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

172e7f491d89fa9e936ef98c10cc6f2b2a56549c6698b0a7413b2e34676d8edc

Aliases

arxiv: 1511.08918 · arxiv_version: 1511.08918v1 · doi: 10.48550/arxiv.1511.08918 · pith_short_12: C4XH6SI5RH5J · pith_short_16: C4XH6SI5RH5J5E3O · pith_short_8: C4XH6SI5

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/C4XH6SI5RH5J5E3O7GGBBTDPFM \
  | 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: 172e7f491d89fa9e936ef98c10cc6f2b2a56549c6698b0a7413b2e34676d8edc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58c144c42ac7b71105206db8548d8c1168f30449f684ff346377b9ff8b66b55b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-28T18:35:05Z",
    "title_canon_sha256": "b1e7e67032604816805c99f6560d53036589841433426a41fa0dd421b6f56db5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08918",
    "kind": "arxiv",
    "version": 1
  }
}