Pith Number

pith:JWIW7G7F

pith:2013:JWIW7G7FTI7KLVBXOMGJZPSLZN

not attested not anchored not stored refs pending

Some observations concerning reducibility of quadrinomials

Andrew Bremner, Maciej Ulas

arxiv:1310.5346 v1 · 2013-10-20 · 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{JWIW7G7FTI7KLVBXOMGJZPSLZN}

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	2026-05-18T03:09:45.744029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d916f9be59a3ea5d437730c9cbe4bcb6d791c0378b0937b0a89e50ac542987e

Aliases

arxiv: 1310.5346 · arxiv_version: 1310.5346v1 · doi: 10.48550/arxiv.1310.5346 · pith_short_12: JWIW7G7FTI7K · pith_short_16: JWIW7G7FTI7KLVBX · pith_short_8: JWIW7G7F

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/JWIW7G7FTI7KLVBXOMGJZPSLZN \
  | 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: 4d916f9be59a3ea5d437730c9cbe4bcb6d791c0378b0937b0a89e50ac542987e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cbe89744c2d0a1cdd3fc3c27b5ccb10e2208b170d4d9d55e7b5229aa0a90349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-20T16:55:51Z",
    "title_canon_sha256": "871b303ab2d9c8b049403f254ff29f497660cd6593f3e82cb5da2292dfa8390b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5346",
    "kind": "arxiv",
    "version": 1
  }
}