Pith Number

pith:MBMDAA7X

pith:2012:MBMDAA7XFPT4K2JIWJWKRNBY3U

not attested not anchored not stored refs pending

Linear Algebra over Z_p[[u]] and related rings

David Lubicz (IRMAR), Xavier Caruso (IRMAR)

arxiv:1212.1053 v1 · 2012-12-03 · math.NT · cs.DS · 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{MBMDAA7XFPT4K2JIWJWKRNBY3U}

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	2026-05-17T23:53:18.199914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60583003f72be7c56928b26ca8b438dd2333bc9a93bceeda0e4fd518d4888e49

Aliases

arxiv: 1212.1053 · arxiv_version: 1212.1053v1 · doi: 10.48550/arxiv.1212.1053 · pith_short_12: MBMDAA7XFPT4 · pith_short_16: MBMDAA7XFPT4K2JI · pith_short_8: MBMDAA7X

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/MBMDAA7XFPT4K2JIWJWKRNBY3U \
  | 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: 60583003f72be7c56928b26ca8b438dd2333bc9a93bceeda0e4fd518d4888e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12a43dd6125b8a59f25e596e2de9704471638efa50dba360c3a3ef263799edeb",
    "cross_cats_sorted": [
      "cs.DS",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-12-03T08:26:58Z",
    "title_canon_sha256": "c4068602251190c3ccc62dfa3f4947a42eca501778f94a758ef4ebc815f98f91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1053",
    "kind": "arxiv",
    "version": 1
  }
}