Pith Number

pith:F4WM5XQC

pith:2019:F4WM5XQCYVIDUIII4XUQC4XNPC

not attested not anchored not stored refs pending

Stability analysis and Hopf bifurcation at high Lewis number in a combustion model with free interface

Claude-Michel Brauner, Luca Lorenzi, Mingmin Zhang

arxiv:1901.01123 v1 · 2019-01-04 · 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{F4WM5XQCYVIDUIII4XUQC4XNPC}

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	2026-05-17T23:56:57.019749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2ccede02c5503a2108e5e90172ed78b194f3c4866120ae60b72cd12127911c

Aliases

arxiv: 1901.01123 · arxiv_version: 1901.01123v1 · doi: 10.48550/arxiv.1901.01123 · pith_short_12: F4WM5XQCYVID · pith_short_16: F4WM5XQCYVIDUIII · pith_short_8: F4WM5XQC

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/F4WM5XQCYVIDUIII4XUQC4XNPC \
  | 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: 2f2ccede02c5503a2108e5e90172ed78b194f3c4866120ae60b72cd12127911c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4e58aea85a7cc0d4eb8045b5712a6e59e35edeb2575022c800a189759e646c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-04T14:24:55Z",
    "title_canon_sha256": "3eedc039f1c8d22af03a142666cdee3e1fdedec03ed288ea30ebf374881ec4f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01123",
    "kind": "arxiv",
    "version": 1
  }
}