Pith Number

pith:4633FCYB

pith:2023:4633FCYBRZ4KMD5MLOAK42M64U

not attested not anchored not stored refs pending

A $\sigma$-homothetic uniqueness of the critical catenoid

Feliciano Vit\'orio, Iury Domingos, Roney Santos

arxiv:2302.08267 v3 · 2023-02-16 · 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{4633FCYBRZ4KMD5MLOAK42M64U}

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	2026-07-05T10:59:45.485886Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b7b28b018e78a60fac5b80ae699ee50ca0a6bdfabca634dac24d911f0153e2

Aliases

arxiv: 2302.08267 · arxiv_version: 2302.08267v3 · doi: 10.48550/arxiv.2302.08267 · pith_short_12: 4633FCYBRZ4K · pith_short_16: 4633FCYBRZ4KMD5M · pith_short_8: 4633FCYB

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/4633FCYBRZ4KMD5MLOAK42M64U \
  | 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: e7b7b28b018e78a60fac5b80ae699ee50ca0a6bdfabca634dac24d911f0153e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce80d6920f6c108a46e76924d514dc2b080926aa196e25cd2c6c71bfccde9107",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-02-16T12:45:39Z",
    "title_canon_sha256": "ed6fe6794066fad4bf36429618f50149c95b708471e1afb735a4250af8b73c4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08267",
    "kind": "arxiv",
    "version": 3
  }
}