Pith Number

pith:YPMBHU3O

pith:2012:YPMBHU3OLFLYNUG3DBIMJIALAM

not attested not anchored not stored refs pending

An explicit computation of p-stabilized vectors

Michitaka Miyauchi, Takuya Yamauchi

arxiv:1210.2608 v2 · 2012-10-09 · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPMBHU3OLFLYNUG3DBIMJIALAM}

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	2026-05-18T03:17:11.892405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d813d36e595786d0db1850c4a00b03230d6be5b4bfe448c384234df3041ce3

Aliases

arxiv: 1210.2608 · arxiv_version: 1210.2608v2 · doi: 10.48550/arxiv.1210.2608 · pith_short_12: YPMBHU3OLFLY · pith_short_16: YPMBHU3OLFLYNUG3 · pith_short_8: YPMBHU3O

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/YPMBHU3OLFLYNUG3DBIMJIALAM \
  | 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: c3d813d36e595786d0db1850c4a00b03230d6be5b4bfe448c384234df3041ce3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d53dd11e10f72e9c4d1e68785eced0eae2aee4b404c8586149ee218070f7442",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-09T14:24:43Z",
    "title_canon_sha256": "dadcb675b16ce4665fee55a5797ebd126b453ed3000819fad94c298e4f8c0a0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2608",
    "kind": "arxiv",
    "version": 2
  }
}