Pith Number

pith:URZGIJKP

pith:2011:URZGIJKPAOZO2LEYAQGLVX76SM

not attested not anchored not stored refs pending

Variations of generalized area functionals and p-area minimizers of bounded variation in the Heisenberg group

Jenn-Fang Hwang, Jih-Hsin Cheng

arxiv:1102.2691 v1 · 2011-02-14 · math.AP · math.CV · 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{URZGIJKPAOZO2LEYAQGLVX76SM}

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	2026-05-18T04:28:46.691786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47264254f03b2ed2c98040cbadffe9300cfb5a879720563235287da079e9a0f

Aliases

arxiv: 1102.2691 · arxiv_version: 1102.2691v1 · doi: 10.48550/arxiv.1102.2691 · pith_short_12: URZGIJKPAOZO · pith_short_16: URZGIJKPAOZO2LEY · pith_short_8: URZGIJKP

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/URZGIJKPAOZO2LEYAQGLVX76SM \
  | 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: a47264254f03b2ed2c98040cbadffe9300cfb5a879720563235287da079e9a0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6ff06f714132cfeff9b6696a65b3ebaa14710775681f5249b0dbad1439be904",
    "cross_cats_sorted": [
      "math.CV",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-14T08:03:34Z",
    "title_canon_sha256": "71bfc3bc37a78272f123fc47a62a4c0ee2eede0047bd43e2ee1812fb7815a295"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2691",
    "kind": "arxiv",
    "version": 1
  }
}