Pith Number

pith:JQR7XK2R

pith:2026:JQR7XK2RGZ6YXIP35TGOVJ2SRB

not attested not anchored not stored refs pending

Thermodynamic Limits of Stochastic Chemical Reaction Networks with Phosphorylation

Lucie Laurence, Philippe Robert

arxiv:2606.30325 v1 · 2026-06-29 · math.PR · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQR7XK2RGZ6YXIP35TGOVJ2SRB}

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	2026-06-30T02:18:10.403089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c23fbab51367d8ba1fbeccceaa752885feb7b9e04927a765ed9b7c111680b2f

Aliases

arxiv: 2606.30325 · arxiv_version: 2606.30325v1 · doi: 10.48550/arxiv.2606.30325 · pith_short_12: JQR7XK2RGZ6Y · pith_short_16: JQR7XK2RGZ6YXIP3 · pith_short_8: JQR7XK2R

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/JQR7XK2RGZ6YXIP35TGOVJ2SRB \
  | 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: 4c23fbab51367d8ba1fbeccceaa752885feb7b9e04927a765ed9b7c111680b2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b304bcef9ace1e9e883fcaa0c3b48ff23f53cbda1ad56f247ce06d5d3039eda",
    "cross_cats_sorted": [
      "q-bio.MN"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-29T14:08:27Z",
    "title_canon_sha256": "92726f2b5ccb18096016325c628a0e1c0d9e850e512c456ffd490aa83eb3b85c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30325",
    "kind": "arxiv",
    "version": 1
  }
}