Pith Number

pith:NG7JBD47

pith:2026:NG7JBD47RETYPTPEMZ4KWJYP6U

not attested not anchored not stored refs pending

Competition at the front of expanding populations

Mehran Kardar, Sergio Eraso

arxiv:2604.01187 v3 · 2026-04-01 · q-bio.PE · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NG7JBD47RETYPTPEMZ4KWJYP6U}

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	2026-05-29T01:05:08.526494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69be908f9f892787cde46678ab270ff5322b89dc9f5839a9bed18989c077ef90

Aliases

arxiv: 2604.01187 · arxiv_version: 2604.01187v3 · doi: 10.48550/arxiv.2604.01187 · pith_short_12: NG7JBD47RETY · pith_short_16: NG7JBD47RETYPTPE · pith_short_8: NG7JBD47

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/NG7JBD47RETYPTPEMZ4KWJYP6U \
  | 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: 69be908f9f892787cde46678ab270ff5322b89dc9f5839a9bed18989c077ef90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b84de5917f4dc056275f56e488a6d54170b615f308392f412882b07e015f8a9",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-04-01T17:35:04Z",
    "title_canon_sha256": "f7157828bdbb2d885f580ebb743d9e03bf34e1c4d4b35c186f753cf20a9e544a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.01187",
    "kind": "arxiv",
    "version": 3
  }
}