Pith Number

pith:D4ZEG67E

pith:2010:D4ZEG67EI22ZLOPQNGTDA7CR3T

not attested not anchored not stored refs pending

Minimizers of the Lawrence-Doniach Functional with Oblique Magnetic Fields

\'Etienne Sandier, Lia Bronsard, Stan Alama

arxiv:1009.1600 v1 · 2010-09-08 · math.AP · 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{D4ZEG67EI22ZLOPQNGTDA7CR3T}

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	2026-05-18T04:41:14.424001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f32437be446b595b9f069a6307c51dcd8e6f088e645293e6fe23bba9fac502a

Aliases

arxiv: 1009.1600 · arxiv_version: 1009.1600v1 · doi: 10.48550/arxiv.1009.1600 · pith_short_12: D4ZEG67EI22Z · pith_short_16: D4ZEG67EI22ZLOPQ · pith_short_8: D4ZEG67E

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/D4ZEG67EI22ZLOPQNGTDA7CR3T \
  | 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: 1f32437be446b595b9f069a6307c51dcd8e6f088e645293e6fe23bba9fac502a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44d20b904c01f6e279527e56dc91141c5507fc26fbdec4f185bb5ee697e4bad9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-09-08T18:02:59Z",
    "title_canon_sha256": "1f9e01ec66f0f8bf0f2f36f8f50e9962cb1201ed7654e2f5b4355e0478617da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1600",
    "kind": "arxiv",
    "version": 1
  }
}