Pith Number

pith:XR3KJPAZ

pith:2012:XR3KJPAZP67CNEWCZFUIZ3D5VS

not attested not anchored not stored refs pending

Split embedding problems over the open arithmetic disc

Arno Fehm, Elad Paran

arxiv:1208.1044 v1 · 2012-08-05 · 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{XR3KJPAZP67CNEWCZFUIZ3D5VS}

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	2026-05-18T03:49:20.719583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc76a4bc197fbe2692c2c9688cec7daca40fc858af4de9db321059043cf8f7f5

Aliases

arxiv: 1208.1044 · arxiv_version: 1208.1044v1 · doi: 10.48550/arxiv.1208.1044 · pith_short_12: XR3KJPAZP67C · pith_short_16: XR3KJPAZP67CNEWC · pith_short_8: XR3KJPAZ

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/XR3KJPAZP67CNEWCZFUIZ3D5VS \
  | 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: bc76a4bc197fbe2692c2c9688cec7daca40fc858af4de9db321059043cf8f7f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64eec54a3c62f91c5a72d01431b03346ee52283cb8a3e4a517f8332f5cd580d5",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-08-05T19:52:27Z",
    "title_canon_sha256": "a63548291d1440a2e1e3445936cda329ce04c1750c6245cc7af7313cb57dfb69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1044",
    "kind": "arxiv",
    "version": 1
  }
}