Pith Number

pith:65M5NF7R

pith:2011:65M5NF7RTZ7UVYJDITTOFDPSGD

not attested not anchored not stored refs pending

Factoring polynomials in the ring of formal power series over Z

Daniel Birmajer, Juan B. Gil, Michael D. Weiner

arxiv:1106.1425 v1 · 2011-06-07 · math.AC · 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{65M5NF7RTZ7UVYJDITTOFDPSGD}

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	2026-05-18T02:49:30.169810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f759d697f19e7f4ae12344e6e28df230e9061b50e1b8410562a5039c1798c9ec

Aliases

arxiv: 1106.1425 · arxiv_version: 1106.1425v1 · doi: 10.48550/arxiv.1106.1425 · pith_short_12: 65M5NF7RTZ7U · pith_short_16: 65M5NF7RTZ7UVYJD · pith_short_8: 65M5NF7R

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/65M5NF7RTZ7UVYJDITTOFDPSGD \
  | 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: f759d697f19e7f4ae12344e6e28df230e9061b50e1b8410562a5039c1798c9ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ed828d59d995b40df8c830fd98c783614a854029048873806a8370bb46340f2",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-06-07T19:52:50Z",
    "title_canon_sha256": "b00bb2c0dca7ae011046edf40f99f24581dccd7e478db8b96854cb4dd367bee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1425",
    "kind": "arxiv",
    "version": 1
  }
}