pith. sign in
Pith Number

pith:JKZFKAII

pith:2013:JKZFKAII7DMNWLC7H4L7U3III6
not attested not anchored not stored refs pending

Entrance Time and R\'enyi Entropy

Chinmaya Gupta, Erika A Rada-Mora, Milton Ko, Nicolai Haydn

arxiv:1306.4476 v1 · 2013-06-19 · math.DS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JKZFKAII7DMNWLC7H4L7U3III6}

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 2026-05-18T03:20:34.332197Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4ab2550108f8d8db2c5f3f17fa6d0847bcb64f5eb1d30c206e0f6461f9d2f9b1

Aliases

arxiv: 1306.4476 · arxiv_version: 1306.4476v1 · doi: 10.48550/arxiv.1306.4476 · pith_short_12: JKZFKAII7DMN · pith_short_16: JKZFKAII7DMNWLC7 · pith_short_8: JKZFKAII
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JKZFKAII7DMNWLC7H4L7U3III6 \
  | 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: 4ab2550108f8d8db2c5f3f17fa6d0847bcb64f5eb1d30c206e0f6461f9d2f9b1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2f2782fa4e7f5f01dfa39d7eb66ef4e42b6b65793c142089bd50bb273bb6950c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-19T10:11:54Z",
    "title_canon_sha256": "d77a7dfc441d921902fdc3e10ca54a49aaa23476d541701642342f69d27b13d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4476",
    "kind": "arxiv",
    "version": 1
  }
}