Pith Number

pith:MEPIBQ5S

pith:2014:MEPIBQ5SDU3KDIGW2J6FAHNGQA

not attested not anchored not stored refs pending

Entropy Rates of the Multidimensional Moran Processes and Generalizations

Marc Harper

arxiv:1401.2713 v1 · 2014-01-13 · math.DS · cs.IT · math.IT · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEPIBQ5SDU3KDIGW2J6FAHNGQA}

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	2026-05-18T03:02:32.450644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

611e80c3b21d36a1a0d6d27c501da6802664ec5f89c779fe8b3b2d6fbacd7c92

Aliases

arxiv: 1401.2713 · arxiv_version: 1401.2713v1 · doi: 10.48550/arxiv.1401.2713 · pith_short_12: MEPIBQ5SDU3K · pith_short_16: MEPIBQ5SDU3KDIGW · pith_short_8: MEPIBQ5S

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/MEPIBQ5SDU3KDIGW2J6FAHNGQA \
  | 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: 611e80c3b21d36a1a0d6d27c501da6802664ec5f89c779fe8b3b2d6fbacd7c92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87621fcb757db5a1a5ab6781c07efff4d586b169be7d9619a2a217e5b11a9575",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-01-13T05:15:51Z",
    "title_canon_sha256": "a307ae3109c757b0575f41f26256e3628e0db4e4480b1e22885f5e2f0ea6da47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2713",
    "kind": "arxiv",
    "version": 1
  }
}