Pith Number

pith:GR2OYSUQ

pith:2026:GR2OYSUQUI23EN5IVQ7L6RFLNB

not attested not anchored not stored refs pending

Curvature inequalities and rigidity for constant mean curvature and spacetime constant mean curvature surfaces

Alejandro Pe\~nuela Diaz

arxiv:2603.16707 v2 · 2026-03-17 · math.DG · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GR2OYSUQUI23EN5IVQ7L6RFLNB}

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	2026-06-26T01:15:50.768076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3474ec4a90a235b237a8ac3ebf44ab6857e9aa57206ab3ce5c0d342709e9eac5

Aliases

arxiv: 2603.16707 · arxiv_version: 2603.16707v2 · doi: 10.48550/arxiv.2603.16707 · pith_short_12: GR2OYSUQUI23 · pith_short_16: GR2OYSUQUI23EN5I · pith_short_8: GR2OYSUQ

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/GR2OYSUQUI23EN5IVQ7L6RFLNB \
  | 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: 3474ec4a90a235b237a8ac3ebf44ab6857e9aa57206ab3ce5c0d342709e9eac5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23e82419acfec48bdda61626880dda638497703e9c325e5f0fd4e198fe1cbbd6",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-03-17T15:58:09Z",
    "title_canon_sha256": "b8d80242f2518644f6fb4c6caabd1bb5aa4a23ea4d93ec2e95089b48bbc42aba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.16707",
    "kind": "arxiv",
    "version": 2
  }
}