Pith Number

pith:6TR5KZNG

pith:2012:6TR5KZNGDAFX33AYSZH4KZXWPE

not attested not anchored not stored refs pending

Local and global stability of equilibria for a class of chemical reaction networks

Murad Banaji, Pete Donnell

arxiv:1211.2153 v2 · 2012-11-09 · math.DS · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6TR5KZNGDAFX33AYSZH4KZXWPE}

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	2026-05-18T03:28:29.336381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4e3d565a6180b7dec18964fc566f6792bbb40163d720a35e2d1aff472e43042

Aliases

arxiv: 1211.2153 · arxiv_version: 1211.2153v2 · doi: 10.48550/arxiv.1211.2153 · pith_short_12: 6TR5KZNGDAFX · pith_short_16: 6TR5KZNGDAFX33AY · pith_short_8: 6TR5KZNG

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/6TR5KZNGDAFX33AYSZH4KZXWPE \
  | 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: f4e3d565a6180b7dec18964fc566f6792bbb40163d720a35e2d1aff472e43042

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0358bc605be9eeace7bd84c5385e597edffb0ffa0170a852439b44b23d95111a",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-11-09T15:01:49Z",
    "title_canon_sha256": "fc392212f04766aeb429e651a9306c7ccde3c7e4cc92dd955d836a5bf5606b87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2153",
    "kind": "arxiv",
    "version": 2
  }
}