Pith Number

pith:F3GATI4R

pith:2015:F3GATI4RIKU2SK2I3NG2I6K2TT

not attested not anchored not stored refs pending

Complete hypersurfaces in Euclidean spaces with strong finite total curvature

Manfredo do Carmo, Maria Fernanda Elbert

arxiv:1512.04760 v1 · 2015-12-15 · 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{F3GATI4RIKU2SK2I3NG2I6K2TT}

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	2026-05-18T01:24:15.648744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ecc09a39142a9a92b48db4da4795a9ce8c34799231d889ec7a14ce2db009df1

Aliases

arxiv: 1512.04760 · arxiv_version: 1512.04760v1 · doi: 10.48550/arxiv.1512.04760 · pith_short_12: F3GATI4RIKU2 · pith_short_16: F3GATI4RIKU2SK2I · pith_short_8: F3GATI4R

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/F3GATI4RIKU2SK2I3NG2I6K2TT \
  | 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: 2ecc09a39142a9a92b48db4da4795a9ce8c34799231d889ec7a14ce2db009df1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cf07ee01a5aba1ee1d5f4acff8aa77612d00fdc942b166c999df6a2fb13bffa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-15T12:36:26Z",
    "title_canon_sha256": "57a43fb4fb338ea876eed15ec5b755018bb22df31c9744bc1303e05753d8b3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04760",
    "kind": "arxiv",
    "version": 1
  }
}