Pith Number

pith:A3HHRPKF

pith:2015:A3HHRPKFN7HWDGBSOKDSSKWC7C

not attested not anchored not stored refs pending

The entropy method for reaction-diffusion systems without detailed balance: first order chemical reaction networks

Bao Q. Tang, Klemens Fellner, Wolfgang Prager

arxiv:1504.08221 v2 · 2015-04-30 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3HHRPKFN7HWDGBSOKDSSKWC7C}

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	2026-05-18T00:54:53.046864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ce78bd456fcf6198327287292ac2f8bc3e22b0845b68d20dee47c7cbbbfccb

Aliases

arxiv: 1504.08221 · arxiv_version: 1504.08221v2 · doi: 10.48550/arxiv.1504.08221 · pith_short_12: A3HHRPKFN7HW · pith_short_16: A3HHRPKFN7HWDGBS · pith_short_8: A3HHRPKF

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/A3HHRPKFN7HWDGBSOKDSSKWC7C \
  | 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: 06ce78bd456fcf6198327287292ac2f8bc3e22b0845b68d20dee47c7cbbbfccb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "656d797d871a80b353c184674ca97b2ad937dce7bf6a156aab92924406f9dda6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-30T13:45:50Z",
    "title_canon_sha256": "8057572a509826be1a1507e349d5d8c5940984ba72df67d86bb450d9d88715f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.08221",
    "kind": "arxiv",
    "version": 2
  }
}