Pith Number

pith:DQR75HGF

pith:2015:DQR75HGFF3FCTP33UK4333YBV5

not attested not anchored not stored refs pending

Weingarten type surfaces in $\mathbb{H}^2\times\mathbb{R}$ and $\mathbb{S}^2\times\mathbb{R}$

Abigail Folha, Carlos Pe\~nafiel

arxiv:1511.08146 v2 · 2015-11-25 · 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{DQR75HGFF3FCTP33UK4333YBV5}

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	2026-05-18T01:25:46.421858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c23fe9cc52eca29bf7ba2b9bdef01af7821e1eca068447c217d12a67981d5e5

Aliases

arxiv: 1511.08146 · arxiv_version: 1511.08146v2 · doi: 10.48550/arxiv.1511.08146 · pith_short_12: DQR75HGFF3FC · pith_short_16: DQR75HGFF3FCTP33 · pith_short_8: DQR75HGF

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/DQR75HGFF3FCTP33UK4333YBV5 \
  | 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: 1c23fe9cc52eca29bf7ba2b9bdef01af7821e1eca068447c217d12a67981d5e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b86143ad178c8ce3983a0f0f31168f19e0d3f1f828ec45ca03f3813776d63a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-25T18:48:35Z",
    "title_canon_sha256": "e8cd9c9cd74d70b3d47aee0bacf4b97e6e8943088609df5c7ce3bb7f2a308721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08146",
    "kind": "arxiv",
    "version": 2
  }
}