Pith Number

pith:7IJVD22N

pith:2019:7IJVD22NV4AIIDNPYI5S6DKS4K

not attested not anchored not stored refs pending

Min-max minimal surfaces, horizons and electrostatic systems

Alexandre de Sousa, Tiarlos Cruz, Vanderson Lima

arxiv:1912.08600 v3 · 2019-12-18 · math.DG · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7IJVD22NV4AIIDNPYI5S6DKS4K}

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.

Cited by

1 paper in Pith

Some splitting and rigidity results for sub-static spaces

Receipt and verification

First computed	2026-07-05T10:51:16.549514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa1351eb4daf00840dafc23b2f0d52e2b0a47a0d1393f02533e01823152f4820

Aliases

arxiv: 1912.08600 · arxiv_version: 1912.08600v3 · doi: 10.48550/arxiv.1912.08600 · pith_short_12: 7IJVD22NV4AI · pith_short_16: 7IJVD22NV4AIIDNP · pith_short_8: 7IJVD22N

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/7IJVD22NV4AIIDNPYI5S6DKS4K \
  | 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: fa1351eb4daf00840dafc23b2f0d52e2b0a47a0d1393f02533e01823152f4820

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119c8065458cc717f5b3d78e74d3060b529fbf36cf983c1328740b2f51e930b3",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-12-18T13:43:18Z",
    "title_canon_sha256": "8b0cd3750c95b32177d5bf5bba1fb17e8aa476c393dbc3420b4ef6c67668caa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.08600",
    "kind": "arxiv",
    "version": 3
  }
}