Pith Number

pith:CPCZ6NDN

pith:2016:CPCZ6NDNQ7WW5RYZEFJEWY2I5I

not attested not anchored not stored refs pending

A note on the Gaussian curvature on noncompact surfaces

Simone Cecchini

arxiv:1609.07631 v2 · 2016-09-24 · 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{CPCZ6NDNQ7WW5RYZEFJEWY2I5I}

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	2026-05-18T00:56:06.120471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c59f346d87ed6ec71921524b6348ea20bf31e58c6ff5b564d404770a057648

Aliases

arxiv: 1609.07631 · arxiv_version: 1609.07631v2 · doi: 10.48550/arxiv.1609.07631 · pith_short_12: CPCZ6NDNQ7WW · pith_short_16: CPCZ6NDNQ7WW5RYZ · pith_short_8: CPCZ6NDN

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/CPCZ6NDNQ7WW5RYZEFJEWY2I5I \
  | 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: 13c59f346d87ed6ec71921524b6348ea20bf31e58c6ff5b564d404770a057648

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2c1acd9eeaef4666eb83979f3a749c4058b6218dfb669496a1baea3f566fc16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-24T14:50:07Z",
    "title_canon_sha256": "89d6d3077d1da6d9437b6c08c40527c7cc2b855c7c90bda66d8249bbd89a5028"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.07631",
    "kind": "arxiv",
    "version": 2
  }
}