Pith Number

pith:67ZSKZ35

pith:2012:67ZSKZ35XXMKTGVBLXCVOA3W7F

not attested not anchored not stored refs pending

The Dirichlet Problem for Curvature Equations in Riemannian Manifolds

Fl\'avio F. Cruz, Jorge H. S. de Lira

arxiv:1204.5993 v3 · 2012-04-26 · 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{67ZSKZ35XXMKTGVBLXCVOA3W7F}

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	2026-05-18T03:26:32.534324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f325677dbdd8a99aa15dc5570376f9783ff0b1a26d2122130cc4963d557d66

Aliases

arxiv: 1204.5993 · arxiv_version: 1204.5993v3 · doi: 10.48550/arxiv.1204.5993 · pith_short_12: 67ZSKZ35XXMK · pith_short_16: 67ZSKZ35XXMKTGVB · pith_short_8: 67ZSKZ35

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/67ZSKZ35XXMKTGVBLXCVOA3W7F \
  | 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: f7f325677dbdd8a99aa15dc5570376f9783ff0b1a26d2122130cc4963d557d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76a7f9bed2740d50e6cfbd19c374aa305f6b34886dec31d9dd373e04b45a77d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-04-26T18:02:58Z",
    "title_canon_sha256": "191df55476e8b74d76d0370cce37962c58badc8bb1ccbf739fee0fd906200ac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5993",
    "kind": "arxiv",
    "version": 3
  }
}