Pith Number

pith:FV3CGY3M

pith:2025:FV3CGY3MAE3EP32GZ4YX27ONCF

not attested not anchored not stored refs pending

Simple Proofs of the Summation and Connectivity Theorems in Metabolic Control Analysis

Weijiu Liu

arxiv:2501.12519 v2 · 2025-01-21 · 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{FV3CGY3MAE3EP32GZ4YX27ONCF}

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.

Cited by

1 paper in Pith

A Universal Control Budget for First-Passage Kinetics

Receipt and verification

First computed	2026-07-05T10:05:16.943670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7623636c013647ef46cf317d7dcd117606ae4e38b2e0d2771cf1fcfa0e1a67

Aliases

arxiv: 2501.12519 · arxiv_version: 2501.12519v2 · doi: 10.48550/arxiv.2501.12519 · pith_short_12: FV3CGY3MAE3E · pith_short_16: FV3CGY3MAE3EP32G · pith_short_8: FV3CGY3M

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/FV3CGY3MAE3EP32GZ4YX27ONCF \
  | 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: 2d7623636c013647ef46cf317d7dcd117606ae4e38b2e0d2771cf1fcfa0e1a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b8da9125f5b8af9b0a5bd0ebaf069eb59a1e3a1aac6f28264647eb4cd215df2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.MN",
    "submitted_at": "2025-01-21T22:20:25Z",
    "title_canon_sha256": "88a407f6982cebc1792c99f257b8335ef1cad73cbca67ca5bb0e0ec81a2bd0e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.12519",
    "kind": "arxiv",
    "version": 2
  }
}