Pith Number

pith:4L45EJNZ

pith:2012:4L45EJNZVVWWLEMXCFBQDL2EAU

not attested not anchored not stored refs pending

Global convergence in systems of differential equations arising from chemical reaction networks

Janusz Mierczynski, Murad Banaji

arxiv:1205.1716 v2 · 2012-05-08 · math.CA · 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{4L45EJNZVVWWLEMXCFBQDL2EAU}

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	2026-05-18T03:41:29.276937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f9d225b9ad6d659197114301af440502cb368241b1421c575a7d1d94752103

Aliases

arxiv: 1205.1716 · arxiv_version: 1205.1716v2 · doi: 10.48550/arxiv.1205.1716 · pith_short_12: 4L45EJNZVVWW · pith_short_16: 4L45EJNZVVWWLEMX · pith_short_8: 4L45EJNZ

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/4L45EJNZVVWWLEMXCFBQDL2EAU \
  | 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: e2f9d225b9ad6d659197114301af440502cb368241b1421c575a7d1d94752103

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bab40b6500982f416d64b5e88d9f2310fa04c6d70336cd16790fb0b40218535",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-05-08T14:54:42Z",
    "title_canon_sha256": "f9b9442862bfd79653aef3f1bf85abbff01c342633d518ad58782b6002dfecec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1716",
    "kind": "arxiv",
    "version": 2
  }
}