Pith Number

pith:OOLYBY75

pith:2012:OOLYBY75AEU77TF6EW25NU6FDY

not attested not anchored not stored refs pending

Identifying derivations through the spectra of their values

B. Magajna, M. Bre\v{s}ar, \v{S}. \v{S}penko

arxiv:1204.4942 v1 · 2012-04-22 · math.OA · math.FA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOLYBY75AEU77TF6EW25NU6FDY}

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	2026-05-18T03:57:15.125438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

739780e3fd0129ffccbe25b5d6d3c51e1cea510262adfa68bff83a2eec2b04c5

Aliases

arxiv: 1204.4942 · arxiv_version: 1204.4942v1 · doi: 10.48550/arxiv.1204.4942 · pith_short_12: OOLYBY75AEU7 · pith_short_16: OOLYBY75AEU77TF6 · pith_short_8: OOLYBY75

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/OOLYBY75AEU77TF6EW25NU6FDY \
  | 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: 739780e3fd0129ffccbe25b5d6d3c51e1cea510262adfa68bff83a2eec2b04c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec91e7a58e74513a42b782b277b082d0b5d61df1f9f573c19a0e322d61631403",
    "cross_cats_sorted": [
      "math.FA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-04-22T21:43:43Z",
    "title_canon_sha256": "c164a4adba4d4a38932244df6b4860e26be70cc75e1aebf7c3aec3dd37c1ce2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4942",
    "kind": "arxiv",
    "version": 1
  }
}