Pith Number

pith:ODYU3WLZ

pith:2021:ODYU3WLZYPVD75XCTBNCDFYL7H

not attested not anchored not stored refs pending

Constant mean curvature graphs in $\mathbb{H}^3$ defined in exterior domains

Adilson Nunes, Jaime Ripoll, Patricia Klaser

arxiv:2109.07970 v2 · 2021-09-16 · math.DG · 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{ODYU3WLZYPVD75XCTBNCDFYL7H}

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	2026-07-05T08:43:20.171392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f14dd979c3ea3ff6e2985a21970bf9cf44a691b35bdcc6f8f32a839ef74630

Aliases

arxiv: 2109.07970 · arxiv_version: 2109.07970v2 · doi: 10.48550/arxiv.2109.07970 · pith_short_12: ODYU3WLZYPVD · pith_short_16: ODYU3WLZYPVD75XC · pith_short_8: ODYU3WLZ

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/ODYU3WLZYPVD75XCTBNCDFYL7H \
  | 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: 70f14dd979c3ea3ff6e2985a21970bf9cf44a691b35bdcc6f8f32a839ef74630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f267738382b1072fba3ac04e915bb2ee30cce926993008beffe9fa509d07617f",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-09-16T13:25:55Z",
    "title_canon_sha256": "72d51f6bf1c4a4f364c61c8fbb7e23d7485501acd81cdfe700449dd92173400e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.07970",
    "kind": "arxiv",
    "version": 2
  }
}