Pith Number

pith:65ZD6G4A

pith:2014:65ZD6G4AVOR42FZCG5QGVQOGG5

not attested not anchored not stored refs pending

Bases of subalgebras of K[[x]] and K[x]

Abdallah Assi (LAREMA), Pedro A. Garc\'ia-S\'anchez, Vincenzo Micale (DMI)

arxiv:1412.4089 v3 · 2014-12-12 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{65ZD6G4AVOR42FZCG5QGVQOGG5}

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	2026-05-18T01:07:52.544390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7723f1b80aba3cd172237606ac1c63750bebe275dc030a763ca1d3b68270256

Aliases

arxiv: 1412.4089 · arxiv_version: 1412.4089v3 · doi: 10.48550/arxiv.1412.4089 · pith_short_12: 65ZD6G4AVOR4 · pith_short_16: 65ZD6G4AVOR42FZC · pith_short_8: 65ZD6G4A

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/65ZD6G4AVOR42FZCG5QGVQOGG5 \
  | 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: f7723f1b80aba3cd172237606ac1c63750bebe275dc030a763ca1d3b68270256

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90cff1dab71a51ac12480437a1f2db5abf2a450f3ddcea817cd93220f4da8788",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-12T19:19:31Z",
    "title_canon_sha256": "19a5038b6b814ffa1fdecd2f97117bc6904783eb240b7456b1c76904961c4b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4089",
    "kind": "arxiv",
    "version": 3
  }
}