Pith Number

pith:M42Q2JPH

pith:2017:M42Q2JPHX7XRKXSXJ77CCIEZ2E

not attested not anchored not stored refs pending

Master equation for the degree distribution of a Duplication and Divergence network

Daniel Gamermann, Leonardo G. Brunnet, Ricardo M. Ferreira, Rita M. C. de Almeida, V\'itor Sudbrack

arxiv:1711.09844 v1 · 2017-11-27 · physics.soc-ph · cond-mat.stat-mech · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M42Q2JPHX7XRKXSXJ77CCIEZ2E}

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	2026-05-18T00:01:32.793335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67350d25e7bfef155e574ffe212099d11a84adbce6f161f44e780ae29ac5753a

Aliases

arxiv: 1711.09844 · arxiv_version: 1711.09844v1 · doi: 10.48550/arxiv.1711.09844 · pith_short_12: M42Q2JPHX7XR · pith_short_16: M42Q2JPHX7XRKXSX · pith_short_8: M42Q2JPH

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/M42Q2JPHX7XRKXSXJ77CCIEZ2E \
  | 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: 67350d25e7bfef155e574ffe212099d11a84adbce6f161f44e780ae29ac5753a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34b40417e66c35b2046d8a354535cf603267ae91ce82e30719210d92d35e74f5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-bio.MN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2017-11-27T17:32:55Z",
    "title_canon_sha256": "4ced756294f4a95f54be0e129451cf49da3cac588b0c934ba648f5f5855c09f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.09844",
    "kind": "arxiv",
    "version": 1
  }
}