Pith Number

pith:OD4VUGVW

pith:2011:OD4VUGVW7BSQQ44CSBL5CMAJ34

not attested not anchored not stored refs pending

Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications

Paul Laurain, Tristan Riviere

arxiv:1109.3599 v1 · 2011-09-16 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OD4VUGVW7BSQQ44CSBL5CMAJ34}

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	2026-05-18T02:21:36.662283Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f95a1ab6f8650873829057d13009df0e50ebc1a35c47068969eea97b86aa1b

Aliases

arxiv: 1109.3599 · arxiv_version: 1109.3599v1 · doi: 10.48550/arxiv.1109.3599 · pith_short_12: OD4VUGVW7BSQ · pith_short_16: OD4VUGVW7BSQQ44C · pith_short_8: OD4VUGVW

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/OD4VUGVW7BSQQ44CSBL5CMAJ34 \
  | 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: 70f95a1ab6f8650873829057d13009df0e50ebc1a35c47068969eea97b86aa1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "605c45eea333754c2cb2f2dffdb5ea13ebd5156fbf273c5eda03a02b494135da",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-16T12:42:10Z",
    "title_canon_sha256": "bfc57cd0aeafe6c104b6fc2ca22724407cd0d623fec7110ccfd963106e83ae6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3599",
    "kind": "arxiv",
    "version": 1
  }
}