Pith Number

pith:4XG5OAM5

pith:2016:4XG5OAM5P255JDBPYWCQNIMI75

not attested not anchored not stored refs pending

The catenoid estimate and its geometric applications

Andr\'e Neves, Daniel Ketover, Fernando C. Marques

arxiv:1601.04514 v1 · 2016-01-18 · math.DG · math.AP · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XG5OAM5P255JDBPYWCQNIMI75}

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	2026-05-18T01:22:44.824587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5cdd7019d7ebbd48c2fc58506a188ff544cdd16dcddccddec5a4b5e7b8451ce

Aliases

arxiv: 1601.04514 · arxiv_version: 1601.04514v1 · doi: 10.48550/arxiv.1601.04514 · pith_short_12: 4XG5OAM5P255 · pith_short_16: 4XG5OAM5P255JDBP · pith_short_8: 4XG5OAM5

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/4XG5OAM5P255JDBPYWCQNIMI75 \
  | 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: e5cdd7019d7ebbd48c2fc58506a188ff544cdd16dcddccddec5a4b5e7b8451ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3eacc285c1ac30740949d7355b1ffdcdbac2fb2734ac6407a2e1d36e87cb357",
    "cross_cats_sorted": [
      "math.AP",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-18T13:49:39Z",
    "title_canon_sha256": "a9ddd7be9dd442164ae49fe9709145f9bff4215aa555bf65773bed6e3c0d8a22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04514",
    "kind": "arxiv",
    "version": 1
  }
}