Pith Number

pith:7EJ7QQZ6

pith:2009:7EJ7QQZ63S7CVLIPBL4TIKUSNW

not attested not anchored not stored refs pending

A new definition of t-entropy for transfer operators

A. V. Lebedev, V. I. Bakhtin

arxiv:0906.4969 v1 · 2009-06-26 · 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{7EJ7QQZ63S7CVLIPBL4TIKUSNW}

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	2026-07-04T15:45:12.861834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f913f8433edcbe2aad0f0af9342a926db9c1042cde981db924233c3d0558ebd8

Aliases

arxiv: 0906.4969 · arxiv_version: 0906.4969v1 · doi: 10.48550/arxiv.0906.4969 · pith_short_12: 7EJ7QQZ63S7C · pith_short_16: 7EJ7QQZ63S7CVLIP · pith_short_8: 7EJ7QQZ6

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/7EJ7QQZ63S7CVLIPBL4TIKUSNW \
  | 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: f913f8433edcbe2aad0f0af9342a926db9c1042cde981db924233c3d0558ebd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865ba3c4b44133c87fce869f9c49edfc5374e36311c4202bd86846cabef644e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-06-26T16:09:28Z",
    "title_canon_sha256": "c5ed1a096e24c86287dcef8bc37bca151a1836a59e0eae40767fd4a392ac3886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4969",
    "kind": "arxiv",
    "version": 1
  }
}