Pith Number

pith:PTTYNU5U

pith:2013:PTTYNU5UUYHGGZ54YFPHHTNE74

not attested not anchored not stored refs pending

Asymptotic Cellular Growth Rate as the Effective Information Utilization Rate

Naama Barkai, Rami Pugatch, Tsvi Tlusty

arxiv:1308.0623 v3 · 2013-08-02 · physics.bio-ph · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTTYNU5UUYHGGZ54YFPHHTNE74}

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	2026-05-18T02:56:35.158596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ce786d3b4a60e6367bcc15e73cda4ff2bf29c7814e23eb12198822810475783

Aliases

arxiv: 1308.0623 · arxiv_version: 1308.0623v3 · doi: 10.48550/arxiv.1308.0623 · pith_short_12: PTTYNU5UUYHG · pith_short_16: PTTYNU5UUYHGGZ54 · pith_short_8: PTTYNU5U

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/PTTYNU5UUYHGGZ54YFPHHTNE74 \
  | 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: 7ce786d3b4a60e6367bcc15e73cda4ff2bf29c7814e23eb12198822810475783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2853656dea1ff3492b07f27aca032694c7ca4c8c50b2afdad5c1e1c94544fe",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2013-08-02T21:42:36Z",
    "title_canon_sha256": "ee0167c60a5dd00d1da515c4f7a8e3f49db970bafa09dcfc1cd5d493d3bd112c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0623",
    "kind": "arxiv",
    "version": 3
  }
}