Pith Number

pith:2K24R5V4

pith:2013:2K24R5V4ALASL27D2VW7KJQKEZ

not attested not anchored not stored refs pending

On Properties of the Intrinsic Geometry of Submanifolds in a Riemannian Manifold

Anatoly P. Kopylov, Mikhail V. Korobkov

arxiv:1305.6169 v2 · 2013-05-27 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2K24R5V4ALASL27D2VW7KJQKEZ}

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	2026-05-18T02:41:18.840400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b5c8f6bc02c125ebe3d56df5260a2644c2cea19494a916db14e0bb13f3e8fe

Aliases

arxiv: 1305.6169 · arxiv_version: 1305.6169v2 · doi: 10.48550/arxiv.1305.6169 · pith_short_12: 2K24R5V4ALAS · pith_short_16: 2K24R5V4ALASL27D · pith_short_8: 2K24R5V4

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/2K24R5V4ALASL27D2VW7KJQKEZ \
  | 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: d2b5c8f6bc02c125ebe3d56df5260a2644c2cea19494a916db14e0bb13f3e8fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bffbe73f463208c550dbc12a846c8728f917a9aeb516561c5a6901090dba751a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-05-27T10:12:58Z",
    "title_canon_sha256": "462304acbc24c601088a345442a494dd0cd5f60bf1225279e46d0f7c3ccf76da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6169",
    "kind": "arxiv",
    "version": 2
  }
}