Pith Number

pith:QYZHVVGD

pith:2012:QYZHVVGDGMJFY6J7EMS4M2FGY2

not attested not anchored not stored refs pending

Willmore-Helfrich L^{2}-flow of curves with natural boundary conditions

Anna Dall'Acqua, Paola Pozzi

arxiv:1211.0949 v2 · 2012-11-05 · 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{QYZHVVGDGMJFY6J7EMS4M2FGY2}

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	2026-05-18T03:34:37.820286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86327ad4c333125c793f2325c668a6c6aee8097e1ad2e2b5068ef20121062a3b

Aliases

arxiv: 1211.0949 · arxiv_version: 1211.0949v2 · doi: 10.48550/arxiv.1211.0949 · pith_short_12: QYZHVVGDGMJF · pith_short_16: QYZHVVGDGMJFY6J7 · pith_short_8: QYZHVVGD

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/QYZHVVGDGMJFY6J7EMS4M2FGY2 \
  | 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: 86327ad4c333125c793f2325c668a6c6aee8097e1ad2e2b5068ef20121062a3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b22895a9510ea176ebf9b06d349eead2d859bdc2624e303fbdfcc94f8efa4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-05T17:53:20Z",
    "title_canon_sha256": "dbe9ae42f41df6afbc287679393e58f992fe5fa1354629035e4f8301d6782a1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0949",
    "kind": "arxiv",
    "version": 2
  }
}