Pith Number

pith:TPIEGXVH

pith:2014:TPIEGXVHPPMCGMCQV3RIZQHZR5

not attested not anchored not stored refs pending

The $L^2$-norm of the second fundamental form of isometric immersions into a Riemannian manifold

Santiago R. Simanca

arxiv:1501.00164 v1 · 2014-12-31 · 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{TPIEGXVHPPMCGMCQV3RIZQHZR5}

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	2026-05-18T02:30:09.967509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bd0435ea77bd8233050aee28cc0f98f500c8eafc9804a1600940a92443d4689

Aliases

arxiv: 1501.00164 · arxiv_version: 1501.00164v1 · doi: 10.48550/arxiv.1501.00164 · pith_short_12: TPIEGXVHPPMC · pith_short_16: TPIEGXVHPPMCGMCQ · pith_short_8: TPIEGXVH

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/TPIEGXVHPPMCGMCQV3RIZQHZR5 \
  | 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: 9bd0435ea77bd8233050aee28cc0f98f500c8eafc9804a1600940a92443d4689

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "880eda9dc649fcf6351c79fa74c13a22a1dd0d1c859e4e7b8516002e6b5c2cdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-31T16:25:08Z",
    "title_canon_sha256": "7551605763c469204740aadc45006c9baf032d3852ae2daf4a1f1269a49dca3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00164",
    "kind": "arxiv",
    "version": 1
  }
}