Pith Number

pith:OPIPF7HJ

pith:2018:OPIPF7HJNLPOUT3BSGXLY34J6K

not attested not anchored not stored refs pending

Second order differentiation formula on $RCD(K,N)$ spaces

Luca Tamanini, Nicola Gigli

arxiv:1807.06276 v1 · 2018-07-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPIPF7HJNLPOUT3BSGXLY34J6K}

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	2026-05-18T00:10:33.508114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d0f2fce96adeea4f6191aebc6f89f2878cee966e9be21056b86b7d82efb8b8

Aliases

arxiv: 1807.06276 · arxiv_version: 1807.06276v1 · doi: 10.48550/arxiv.1807.06276 · pith_short_12: OPIPF7HJNLPO · pith_short_16: OPIPF7HJNLPOUT3B · pith_short_8: OPIPF7HJ

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/OPIPF7HJNLPOUT3BSGXLY34J6K \
  | 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: 73d0f2fce96adeea4f6191aebc6f89f2878cee966e9be21056b86b7d82efb8b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfb6aa313d7a8634dbabf6405b8eb269b9b3413a7471eaba0fc49118a3d3800d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-17T08:29:38Z",
    "title_canon_sha256": "00b1e7610cec2016638bc992d6b924501f7e302aed7792911b61a772b8ba5c24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.06276",
    "kind": "arxiv",
    "version": 1
  }
}