Pith Number

pith:HOBEP33F

pith:2013:HOBEP33FK7PKVJOHRIEQKNCGN3

not attested not anchored not stored refs pending

On Hensel's roots and a factorization formula in Z[[x]]

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

arxiv:1308.2987 v1 · 2013-08-13 · math.NT · math.AC · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOBEP33FK7PKVJOHRIEQKNCGN3}

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	2026-05-18T02:31:12.170025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b8247ef6557deaaa5c78a090534466ee767a6fd233a7203491466788961cde8

Aliases

arxiv: 1308.2987 · arxiv_version: 1308.2987v1 · doi: 10.48550/arxiv.1308.2987 · pith_short_12: HOBEP33FK7PK · pith_short_16: HOBEP33FK7PKVJOH · pith_short_8: HOBEP33F

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/HOBEP33FK7PKVJOHRIEQKNCGN3 \
  | 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: 3b8247ef6557deaaa5c78a090534466ee767a6fd233a7203491466788961cde8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6a12e65ac2fd6512ff30c1307f94d80c019e0a7c15a2da76b40cc8a143fd0db",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-13T22:12:16Z",
    "title_canon_sha256": "d99a4feb759fea6e73c9c2b5b0a4fe2a0f0b36c38279ceda98152516ac56d437"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2987",
    "kind": "arxiv",
    "version": 1
  }
}