Pith Number

pith:5J4X6FLV

pith:2010:5J4X6FLVHTE7YZCM3NACI6FE5G

not attested not anchored not stored refs pending

Spectral multiplicities for ergodic flows

Alexandre I. Danilenko, Mariusz Lema\'nczyk

arxiv:1008.4845 v1 · 2010-08-28 · 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{5J4X6FLVHTE7YZCM3NACI6FE5G}

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	2026-05-18T04:41:43.568698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea797f15753cc9fc644cdb402478a4e9bb303a0fefde36c255e67b5591269962

Aliases

arxiv: 1008.4845 · arxiv_version: 1008.4845v1 · doi: 10.48550/arxiv.1008.4845 · pith_short_12: 5J4X6FLVHTE7 · pith_short_16: 5J4X6FLVHTE7YZCM · pith_short_8: 5J4X6FLV

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/5J4X6FLVHTE7YZCM3NACI6FE5G \
  | 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: ea797f15753cc9fc644cdb402478a4e9bb303a0fefde36c255e67b5591269962

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2bdefeeb0d40b4154700d51607f0011cba07c7ec7782e616cba672607d6ebf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-28T08:08:12Z",
    "title_canon_sha256": "030e41188993fea9f3e2bd1f9b44548d96037db8777a46c4e8c5ddfdbfafc9aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4845",
    "kind": "arxiv",
    "version": 1
  }
}