Pith Number

pith:S5C7EXNA

pith:2015:S5C7EXNAVFVSMN7K5UIB24VBCS

not attested not anchored not stored refs pending

Splitting, parallel gradient and Bakry-Emery Ricci curvature

S\'ergio Mendon\c{c}a

arxiv:1502.00185 v1 · 2015-02-01 · 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{S5C7EXNAVFVSMN7K5UIB24VBCS}

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	2026-05-18T02:28:12.521720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9745f25da0a96b2637eaed101d72a11480bc69bdfd3f231c6cac9f51b87df9c9

Aliases

arxiv: 1502.00185 · arxiv_version: 1502.00185v1 · doi: 10.48550/arxiv.1502.00185 · pith_short_12: S5C7EXNAVFVS · pith_short_16: S5C7EXNAVFVSMN7K · pith_short_8: S5C7EXNA

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/S5C7EXNAVFVSMN7K5UIB24VBCS \
  | 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: 9745f25da0a96b2637eaed101d72a11480bc69bdfd3f231c6cac9f51b87df9c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac99f15962edb9619ba85b6d9e54df5b40861a01d604305c2c728e59ff0f991",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-01T02:00:09Z",
    "title_canon_sha256": "c3ef8fb263e965c10edcd14171d0c5705f7ad8daa1f2f4b9f87a80281fcc386a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00185",
    "kind": "arxiv",
    "version": 1
  }
}