Pith Number

pith:2M2XM7ES

pith:2024:2M2XM7ESXO3O74G4CBNMAYFIJU

not attested not anchored not stored refs pending

Uncertainty quantification analysis of bifurcations of the Allen--Cahn equation with random coefficients

Chiara Piazzola, Christian Kuehn, Elisabeth Ullmann

arxiv:2404.04639 v2 · 2024-04-06 · math.NA · cs.NA · 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{2M2XM7ESXO3O74G4CBNMAYFIJU}

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.

Cited by

1 paper in Pith

Deflation-based certified greedy algorithm and adaptivity for bifurcating nonlinear PDEs

Receipt and verification

First computed	2026-07-05T08:54:48.944060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d335767c92bbb6eff0dc105ac060a84d1b47505481679fa6cf34f29dda76c634

Aliases

arxiv: 2404.04639 · arxiv_version: 2404.04639v2 · doi: 10.48550/arxiv.2404.04639 · pith_short_12: 2M2XM7ESXO3O · pith_short_16: 2M2XM7ESXO3O74G4 · pith_short_8: 2M2XM7ES

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/2M2XM7ESXO3O74G4CBNMAYFIJU \
  | 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: d335767c92bbb6eff0dc105ac060a84d1b47505481679fa6cf34f29dda76c634

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b07ab45ad557ddff019c9a49a1b97d02fc6b8e1f36480f31beedc656e7d0b81",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-04-06T14:17:08Z",
    "title_canon_sha256": "3b551b3f8a6a125caac096d8859742a1c1ae577b01c8050bc78bd52b2db0b536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04639",
    "kind": "arxiv",
    "version": 2
  }
}