Pith Number

pith:TVPGV47C

pith:2011:TVPGV47C4ZM5DHIOLTG5JXX3W3

not attested not anchored not stored refs pending

Factoring formal power series over principal ideal domains

Jesse Elliott

arxiv:1107.4860 v4 · 2011-07-25 · 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{TVPGV47C4ZM5DHIOLTG5JXX3W3}

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	2026-05-18T03:52:28.393773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d5e6af3e2e659d19d0e5ccdd4defbb6f8d2fe0d4ac00616ff1b69891085891a

Aliases

arxiv: 1107.4860 · arxiv_version: 1107.4860v4 · doi: 10.48550/arxiv.1107.4860 · pith_short_12: TVPGV47C4ZM5 · pith_short_16: TVPGV47C4ZM5DHIO · pith_short_8: TVPGV47C

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/TVPGV47C4ZM5DHIOLTG5JXX3W3 \
  | 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: 9d5e6af3e2e659d19d0e5ccdd4defbb6f8d2fe0d4ac00616ff1b69891085891a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97a09b92d9e58aa2976cee27aa4632f12e490c908f44555014e7d592686fe45e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-07-25T07:52:59Z",
    "title_canon_sha256": "42a3ba15f25e40cbd7ef023aaea8216bf8d254327af0fb2d6001bed6f9675e2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4860",
    "kind": "arxiv",
    "version": 4
  }
}