Pith Number

pith:ODEITOH4

pith:2019:ODEITOH4WA3AQVNYMDJMLB63VZ

not attested not anchored not stored refs pending

Density dependent replicator-mutator models in directed evolution

Mario Veruete, Matthieu Alfaro

arxiv:1901.07848 v1 · 2019-01-23 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODEITOH4WA3AQVNYMDJMLB63VZ}

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	2026-05-17T23:55:39.612081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70c889b8fcb0360855b860d2c587dbae4ede8280625b4592cbd9560b0d87d164

Aliases

arxiv: 1901.07848 · arxiv_version: 1901.07848v1 · doi: 10.48550/arxiv.1901.07848 · pith_short_12: ODEITOH4WA3A · pith_short_16: ODEITOH4WA3AQVNY · pith_short_8: ODEITOH4

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/ODEITOH4WA3AQVNYMDJMLB63VZ \
  | 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: 70c889b8fcb0360855b860d2c587dbae4ede8280625b4592cbd9560b0d87d164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f84856d8a8d41c50e4c015053cb9525b0819bccf041d3a57e99b6bd3253672d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-23T12:28:39Z",
    "title_canon_sha256": "ca1432651d9d82997079b74050c354ff24955775e6430af877574b10def6efc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07848",
    "kind": "arxiv",
    "version": 1
  }
}