Pith Number

pith:PTW67HOW

pith:2010:PTW67HOWUVBOOEUCWC5UYSFD2A

not attested not anchored not stored refs pending

Phase Transitions for the Brusselator Model

Shouhong Wang, Tian Ma

arxiv:1008.1374 v1 · 2010-08-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTW67HOWUVBOOEUCWC5UYSFD2A}

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	2026-05-18T02:05:58.029608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cedef9dd6a542e71282b0bb4c48a3d01bf59bce621fcbc31edfff897dbd3f32

Aliases

arxiv: 1008.1374 · arxiv_version: 1008.1374v1 · doi: 10.48550/arxiv.1008.1374 · pith_short_12: PTW67HOWUVBO · pith_short_16: PTW67HOWUVBOOEUC · pith_short_8: PTW67HOW

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/PTW67HOWUVBOOEUCWC5UYSFD2A \
  | 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: 7cedef9dd6a542e71282b0bb4c48a3d01bf59bce621fcbc31edfff897dbd3f32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c70f22e93b16d05c24114748441e84a55c306f5ea6a2bc6c3f6251dc636269a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-08-08T00:53:58Z",
    "title_canon_sha256": "88f4231ab39fcc8d7d3b1b5f2ba343e48c986a204f24315677195881b5c3ca1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1374",
    "kind": "arxiv",
    "version": 1
  }
}