Pith Number

pith:CKWMOP3W

pith:2026:CKWMOP3WXGEXZ2IPKN5RSTF4I5

not attested not anchored not stored refs pending

Input-to-state stability of chemical reaction networks with application to molecular computation

Chuanhou Gao, Denis Dochain, Renlei Jiang, Xiaoyu Zhang

arxiv:2608.13302 v1 · 2026-08-13 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKWMOP3WXGEXZ2IPKN5RSTF4I5}

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	2026-08-14T01:04:09.990038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12acc73f76b9897ce90f537b194cbc47491aea59d75c43aae5088f8b14cfb4e5

Aliases

arxiv: 2608.13302 · arxiv_version: 2608.13302v1 · doi: 10.48550/arxiv.2608.13302 · pith_short_12: CKWMOP3WXGEX · pith_short_16: CKWMOP3WXGEXZ2IP · pith_short_8: CKWMOP3W

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/CKWMOP3WXGEXZ2IPKN5RSTF4I5 \
  | 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: 12acc73f76b9897ce90f537b194cbc47491aea59d75c43aae5088f8b14cfb4e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6de515ad18b41fccb73f9b1856db52d8d045f63cf4b1283c7b9ff12ba2b8068",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-08-13T14:32:28Z",
    "title_canon_sha256": "beaf754b4a7d0d2fb1e809f88cbc6ca4d9468f2a511e018f74c7045b83eb23ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13302",
    "kind": "arxiv",
    "version": 1
  }
}