Pith Number

pith:5VXQ4BTM

pith:2000:5VXQ4BTMGS6YZYXNS4P4MXCLDI

not attested not anchored not stored refs pending

Convexity of domains of Riemannian manifolds

Anna Germinario, Miguel Sanchez, Rossella Bartolo

arxiv:math/0004075 v1 · 2000-04-12 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VXQ4BTMGS6YZYXNS4P4MXCLDI}

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	2026-05-18T03:01:36.359399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6f0e066c34bd8ce2ed971fc65c4b1a2eb39384e306de9025d3007554e03c16

Aliases

arxiv: math/0004075 · arxiv_version: math/0004075v1 · doi: 10.48550/arxiv.math/0004075 · pith_short_12: 5VXQ4BTMGS6Y · pith_short_16: 5VXQ4BTMGS6YZYXN · pith_short_8: 5VXQ4BTM

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/5VXQ4BTMGS6YZYXNS4P4MXCLDI \
  | 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: ed6f0e066c34bd8ce2ed971fc65c4b1a2eb39384e306de9025d3007554e03c16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4b3ad1ea968a69628d8bf614cb1956f12c5509795f94f8c7e04856cff80a565",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2000-04-12T09:41:41Z",
    "title_canon_sha256": "28e5867074f353b2cd7fad134e43f97a3a9fc20995d0f0044a3b260fd2300fa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0004075",
    "kind": "arxiv",
    "version": 1
  }
}