Pith Number

pith:DZEUXROB

pith:2012:DZEUXROBHJ75YLLGC26A2NLILM

not attested not anchored not stored refs pending

On spectral multiplicities {2, 4,..., 2^n} for totally ergodic Z^2-actions

R. A. Konev, V. V. Ryzhikov

arxiv:1212.5135 v1 · 2012-12-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZEUXROBHJ75YLLGC26A2NLILM}

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	2026-05-18T03:38:03.715014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e494bc5c13a7fdc2d6616bc0d35685b2fdf8b7bb215805ac6a47e63dd6d2c27

Aliases

arxiv: 1212.5135 · arxiv_version: 1212.5135v1 · doi: 10.48550/arxiv.1212.5135 · pith_short_12: DZEUXROBHJ75 · pith_short_16: DZEUXROBHJ75YLLG · pith_short_8: DZEUXROB

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/DZEUXROBHJ75YLLGC26A2NLILM \
  | 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: 1e494bc5c13a7fdc2d6616bc0d35685b2fdf8b7bb215805ac6a47e63dd6d2c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32a6089f05c65fba8586729ba2edd9f028b97a1aaafa4b6fda66310e59443942",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-20T16:48:53Z",
    "title_canon_sha256": "8aaa2a13e37d9c3aa1da4b2638e42ab4612074aa9fca2588ee17c543c1a81fc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5135",
    "kind": "arxiv",
    "version": 1
  }
}