Pith Number

pith:NA4LTJ36

pith:2026:NA4LTJ36FYAFTLKFVQ5K6KTJXQ

not attested not anchored not stored refs pending

From Berg-Purcell precision bounds to clock-limited information capacity

Micha{\l} Komorowski

arxiv:2607.21249 v1 · 2026-07-23 · q-bio.MN · cs.IT · math.IT · stat.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{NA4LTJ36FYAFTLKFVQ5K6KTJXQ}

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	2026-07-24T01:24:22.029043Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6838b9a77e2e0059ad45ac3aaf2a69bc020260b4bbe7c9aaae2d418b7d8dc548

Aliases

arxiv: 2607.21249 · arxiv_version: 2607.21249v1 · doi: 10.48550/arxiv.2607.21249 · pith_short_12: NA4LTJ36FYAF · pith_short_16: NA4LTJ36FYAFTLKF · pith_short_8: NA4LTJ36

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/NA4LTJ36FYAFTLKFVQ5K6KTJXQ \
  | 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: 6838b9a77e2e0059ad45ac3aaf2a69bc020260b4bbe7c9aaae2d418b7d8dc548

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2101385821bf6907b6b9047c3675c5f139e97034d78fecb1fa3f3802b17ac70",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.AP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2026-07-23T12:18:31Z",
    "title_canon_sha256": "8247f849997fc309f094d5e3123de627ff588017fef48997bd105b3ac0e97225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21249",
    "kind": "arxiv",
    "version": 1
  }
}