pith. sign in
Pith Number

pith:LYOS2UX5

pith:2012:LYOS2UX52VK4Q772IVX7DXR62H
not attested not anchored not stored refs pending

The expected value under the Yule model of the squared path-difference distance

Arnau Mir, Francesc Rossello, Gabriel Cardona

arxiv:1203.2503 v1 · 2012-03-12 · q-bio.PE · math.PR · q-bio.QM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{LYOS2UX52VK4Q772IVX7DXR62H}

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 2026-05-18T04:00:16.605770Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5e1d2d52fdd555c87ffa456ff1de3ed1c6188fbabaded5afb688e485b7d3a8f4

Aliases

arxiv: 1203.2503 · arxiv_version: 1203.2503v1 · doi: 10.48550/arxiv.1203.2503 · pith_short_12: LYOS2UX52VK4 · pith_short_16: LYOS2UX52VK4Q772 · pith_short_8: LYOS2UX5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/LYOS2UX52VK4Q772IVX7DXR62H \
  | 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: 5e1d2d52fdd555c87ffa456ff1de3ed1c6188fbabaded5afb688e485b7d3a8f4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1d8b95e05c0dd4e18b9ff9f9f1e6318cda3e00240c2f842b4ec31becc3c08b7b",
    "cross_cats_sorted": [
      "math.PR",
      "q-bio.QM"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-03-12T14:33:52Z",
    "title_canon_sha256": "7bcd4f22a202b27ec346d8d511d04e371a2f8f9999fdc84aeaf0bac43d673e92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2503",
    "kind": "arxiv",
    "version": 1
  }
}