Pith Number

pith:ZXC66SHQ

pith:2010:ZXC66SHQRSJUSHAX6LLMMFNZXV

not attested not anchored not stored refs pending

Steepest descent curves of convex functions on surfaces of constant curvature

Andrea Spiro, Cristina Giannotti

arxiv:1003.5386 v3 · 2010-03-28 · math.CA · 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{ZXC66SHQRSJUSHAX6LLMMFNZXV}

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	2026-05-18T02:24:26.401644Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdc5ef48f08c93491c17f2d6c615b9bd495c54bf9058bda54fc6a8add31685d2

Aliases

arxiv: 1003.5386 · arxiv_version: 1003.5386v3 · doi: 10.48550/arxiv.1003.5386 · pith_short_12: ZXC66SHQRSJU · pith_short_16: ZXC66SHQRSJUSHAX · pith_short_8: ZXC66SHQ

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/ZXC66SHQRSJUSHAX6LLMMFNZXV \
  | 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: cdc5ef48f08c93491c17f2d6c615b9bd495c54bf9058bda54fc6a8add31685d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af66d700c0474a18d012dc3fcca38dc5b533e36b235073390f00d1ee99860e4",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-03-28T18:18:48Z",
    "title_canon_sha256": "35d4217812b3db655343115d31732240aa9a525fa35e36c1908c4d4b441e00d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.5386",
    "kind": "arxiv",
    "version": 3
  }
}