Pith Number

pith:6YPSYSGF

pith:2011:6YPSYSGFDEUK3YUQ3WOAMAM3BW

not attested not anchored not stored refs pending

(In-)Stability of Singular Equivariant Solutions to the Landau-Lifshitz-Gilbert Equation

Jan Bouwe van den Berg, JF Williams

arxiv:1107.2620 v1 · 2011-07-13 · 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{6YPSYSGFDEUK3YUQ3WOAMAM3BW}

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	2026-05-18T04:18:22.763401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f61f2c48c51928ade290dd9c06019b0db052abd820f5201012557eb8b1623785

Aliases

arxiv: 1107.2620 · arxiv_version: 1107.2620v1 · doi: 10.48550/arxiv.1107.2620 · pith_short_12: 6YPSYSGFDEUK · pith_short_16: 6YPSYSGFDEUK3YUQ · pith_short_8: 6YPSYSGF

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/6YPSYSGFDEUK3YUQ3WOAMAM3BW \
  | 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: f61f2c48c51928ade290dd9c06019b0db052abd820f5201012557eb8b1623785

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24b775759e7ab9f0caaaea66b3c6edd4f4c3f424c69a27706532f65aa048e96f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-13T18:11:34Z",
    "title_canon_sha256": "8bbd25526e769abc9ecf092799b420bfc52f3c40f88980098075c901508e41ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2620",
    "kind": "arxiv",
    "version": 1
  }
}