Pith Number

pith:GWMOW7SB

pith:2012:GWMOW7SBKHYYNPWWMB4RWJBOQ2

not attested not anchored not stored refs pending

The Minkowski problem, new constant curvature surfaces in R^3, and some applications

Antonio Alarcon, Rabah Souam

arxiv:1204.4687 v3 · 2012-04-20 · 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{GWMOW7SBKHYYNPWWMB4RWJBOQ2}

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	2026-05-18T03:33:26.096801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3598eb7e4151f186bed660791b242e86b63556b113f154322403690a2103de56

Aliases

arxiv: 1204.4687 · arxiv_version: 1204.4687v3 · doi: 10.48550/arxiv.1204.4687 · pith_short_12: GWMOW7SBKHYY · pith_short_16: GWMOW7SBKHYYNPWW · pith_short_8: GWMOW7SB

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/GWMOW7SBKHYYNPWWMB4RWJBOQ2 \
  | 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: 3598eb7e4151f186bed660791b242e86b63556b113f154322403690a2103de56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d39186e99d3a7f2665414c4dbb8f10022469e947daeca2a01957295ef6260e02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-20T17:51:15Z",
    "title_canon_sha256": "4edabd6c976f3b8166d6cddf94af5fdaa352a7316a6bfc3cd12c4fd014e85cfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4687",
    "kind": "arxiv",
    "version": 3
  }
}