Pith Number

pith:K7OIIATL

pith:2021:K7OIIATLH4WVVJL4KPKQE2SQAZ

not attested not anchored not stored refs pending

On the asymptotic Plateau problem in Cartan--Hadamard manifolds

Graham Smith

arxiv:2107.14670 v5 · 2021-07-30 · 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{K7OIIATLH4WVVJL4KPKQE2SQAZ}

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.

Cited by

1 paper in Pith

Foliated Plateau problems, geometric rigidity and equidistribution of closed $k$-surfaces

Receipt and verification

First computed	2026-07-05T05:33:05.916912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57dc84026b3f2d5aa57c53d5026a500669f1d0d11325589f53009979b72ce326

Aliases

arxiv: 2107.14670 · arxiv_version: 2107.14670v5 · doi: 10.48550/arxiv.2107.14670 · pith_short_12: K7OIIATLH4WV · pith_short_16: K7OIIATLH4WVVJL4 · pith_short_8: K7OIIATL

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/K7OIIATLH4WVVJL4KPKQE2SQAZ \
  | 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: 57dc84026b3f2d5aa57c53d5026a500669f1d0d11325589f53009979b72ce326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3df37d599d1dd323ded67b2557ae9c953e9b038dc13c57bec610d98170eeff5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-07-30T14:43:06Z",
    "title_canon_sha256": "28a2817f7af9c43608b34a6347a6a41db2d2cefa13944c6619f5dc37bbe9e4f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.14670",
    "kind": "arxiv",
    "version": 5
  }
}