Pith Number

pith:DCW6Y57I

pith:2010:DCW6Y57I72GWEKXJNSQO6HFY7G

not attested not anchored not stored refs pending

Explicit Factorization of Prime Integers in Quartic Number Fields defined by $X^4+aX+b$

Lhoussain El fadil

arxiv:1008.3674 v1 · 2010-08-22 · 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{DCW6Y57I72GWEKXJNSQO6HFY7G}

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	2026-05-18T04:41:55.402705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18adec77e8fe8d622ae96ca0ef1cb8f9b7c2b7334e711f9a5ecdbcdf843ba8d9

Aliases

arxiv: 1008.3674 · arxiv_version: 1008.3674v1 · doi: 10.48550/arxiv.1008.3674 · pith_short_12: DCW6Y57I72GW · pith_short_16: DCW6Y57I72GWEKXJ · pith_short_8: DCW6Y57I

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/DCW6Y57I72GWEKXJNSQO6HFY7G \
  | 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: 18adec77e8fe8d622ae96ca0ef1cb8f9b7c2b7334e711f9a5ecdbcdf843ba8d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5a2f8cc4bed0be3e3030cc78ffb302301990698dba66af79b8b9b904b209001",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-08-22T01:34:41Z",
    "title_canon_sha256": "cafe2a1b28edb69943c332e00345b9d1fdbe5ac01e2511f50f41c6ccce7bd386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3674",
    "kind": "arxiv",
    "version": 1
  }
}