Pith Number

pith:KD3WVR2G

pith:2011:KD3WVR2GYKVVLVGPYOJO6JIOQ7

not attested not anchored not stored refs pending

Droplet Minimizers of an Isoperimetric Problem with long-range interactions

Emanuele Spadaro, Marco Cicalese

arxiv:1110.0031 v1 · 2011-09-30 · 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{KD3WVR2GYKVVLVGPYOJO6JIOQ7}

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	2026-05-18T04:11:50.920047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50f76ac746c2ab55d4cfc392ef250e87ccab1f66d9b14ad588f6a436b816d4d7

Aliases

arxiv: 1110.0031 · arxiv_version: 1110.0031v1 · doi: 10.48550/arxiv.1110.0031 · pith_short_12: KD3WVR2GYKVV · pith_short_16: KD3WVR2GYKVVLVGP · pith_short_8: KD3WVR2G

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/KD3WVR2GYKVVLVGPYOJO6JIOQ7 \
  | 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: 50f76ac746c2ab55d4cfc392ef250e87ccab1f66d9b14ad588f6a436b816d4d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c4faa83488339ea695e363e41bf771daeec74927fef346ed32de388c62b77f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-30T21:12:52Z",
    "title_canon_sha256": "c4621d73c25595dab119bc30b7759095ca8a0ea91b77daf06c89960badb24cad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0031",
    "kind": "arxiv",
    "version": 1
  }
}