Pith Number

pith:2IVB5SHE

pith:2016:2IVB5SHEHAEBJBEG5LWYAM6SNH

not attested not anchored not stored refs pending

Variational characterizations of $\xi$-submanifolds in the Eulicdean space $\bbr^{m+p}$

Xingxiao Li, Zhaoping Li

arxiv:1612.09024 v1 · 2016-12-29 · 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{2IVB5SHEHAEBJBEG5LWYAM6SNH}

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	2026-05-18T00:53:46.593947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d22a1ec8e43808148486eaed8033d269e0e724a744fea343ae15408f93bf8c67

Aliases

arxiv: 1612.09024 · arxiv_version: 1612.09024v1 · doi: 10.48550/arxiv.1612.09024 · pith_short_12: 2IVB5SHEHAEB · pith_short_16: 2IVB5SHEHAEBJBEG · pith_short_8: 2IVB5SHE

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/2IVB5SHEHAEBJBEG5LWYAM6SNH \
  | 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: d22a1ec8e43808148486eaed8033d269e0e724a744fea343ae15408f93bf8c67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "288f31af57753ea690fa8d2d9bc28b3ca939d6b00b7a02dbaa8764962cd04e78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-29T02:28:33Z",
    "title_canon_sha256": "74cef0ae8b635ea3584a24d9c8b6587c0d323a0810ec348cdb5b6bd4a48d3b44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09024",
    "kind": "arxiv",
    "version": 1
  }
}