Pith Number

pith:NSPFZ4GU

pith:2015:NSPFZ4GUBR5OOXEKXM3W7FPJ7L

not attested not anchored not stored refs pending

On the immersed submanifolds in the unit sphere with parallel Blaschke tensor

Hongru Song, Xingxiao Li

arxiv:1511.02560 v2 · 2015-11-09 · 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{NSPFZ4GUBR5OOXEKXM3W7FPJ7L}

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	2026-05-18T01:25:24.178549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c9e5cf0d40c7ae75c8abb376f95e9faf1207c51aaef710a2d9b0057eb1940fa

Aliases

arxiv: 1511.02560 · arxiv_version: 1511.02560v2 · doi: 10.48550/arxiv.1511.02560 · pith_short_12: NSPFZ4GUBR5O · pith_short_16: NSPFZ4GUBR5OOXEK · pith_short_8: NSPFZ4GU

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/NSPFZ4GUBR5OOXEKXM3W7FPJ7L \
  | 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: 6c9e5cf0d40c7ae75c8abb376f95e9faf1207c51aaef710a2d9b0057eb1940fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4243282c054dbbeab6f5770283e453ef624d4b34f85b049ebedfd570af8f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-09T03:44:25Z",
    "title_canon_sha256": "82d5b1bca09297cb4c16273a23af83addebdac23a2a42ef23e74ab5930feaafd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02560",
    "kind": "arxiv",
    "version": 2
  }
}