Pith Number

pith:NTVBTGDN

pith:2015:NTVBTGDNCPZBJ7CXPQSONAZN37

not attested not anchored not stored refs pending

The Gauss map and second fundamental form of surfaces in a Lie group

Abigail Folha, Carlos Penafiel

arxiv:1506.03743 v1 · 2015-06-11 · 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{NTVBTGDNCPZBJ7CXPQSONAZN37}

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	2026-05-18T01:53:03.398735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cea19986d13f214fc577c24e6832ddfddec9b5e277aa62e61f445822374635f

Aliases

arxiv: 1506.03743 · arxiv_version: 1506.03743v1 · doi: 10.48550/arxiv.1506.03743 · pith_short_12: NTVBTGDNCPZB · pith_short_16: NTVBTGDNCPZBJ7CX · pith_short_8: NTVBTGDN

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/NTVBTGDNCPZBJ7CXPQSONAZN37 \
  | 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: 6cea19986d13f214fc577c24e6832ddfddec9b5e277aa62e61f445822374635f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15b40fba54f5311ab532a7ec7f02eede7db330afccdd69b10fe0a86aa1fb7504",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-11T16:58:05Z",
    "title_canon_sha256": "f9c0f09968367336ba8876887a9274bfeeb4cb61799fc5119f68bb7c5e62690b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03743",
    "kind": "arxiv",
    "version": 1
  }
}