Pith Number

pith:RFN2BJ5G

pith:2021:RFN2BJ5G2L3GCTNXPZAMPN6T65

not attested not anchored not stored refs pending

Relationship between fitness and heterogeneity in exponentially growing microbial populations

Alfredo Braunstein, Andrea De Martino, Andrea Pagnani, Anna Paola Muntoni, Daniele De Martino

arxiv:2104.02594 v2 · 2021-04-06 · q-bio.MN · cond-mat.dis-nn · cond-mat.stat-mech · physics.bio-ph · q-bio.QM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFN2BJ5G2L3GCTNXPZAMPN6T65}

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	2026-07-05T04:25:09.702718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

895ba0a7a6d2f6614db77e40c7b7d3f76b9688be089b3a6509c5e48dc612b0bb

Aliases

arxiv: 2104.02594 · arxiv_version: 2104.02594v2 · doi: 10.48550/arxiv.2104.02594 · pith_short_12: RFN2BJ5G2L3G · pith_short_16: RFN2BJ5G2L3GCTNX · pith_short_8: RFN2BJ5G

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/RFN2BJ5G2L3GCTNXPZAMPN6T65 \
  | 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: 895ba0a7a6d2f6614db77e40c7b7d3f76b9688be089b3a6509c5e48dc612b0bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b454f4b8e283dda52785a5cb55d468121ecbb60a65dfe09df979a0ae4f214163",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "cond-mat.stat-mech",
      "physics.bio-ph",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2021-04-06T15:31:22Z",
    "title_canon_sha256": "61e8b34b9fa7e3401405af179625e1ca81fc096fa05c610bb6dc02b5ca773984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.02594",
    "kind": "arxiv",
    "version": 2
  }
}