Pith Number

pith:ES6PS5KR

pith:2015:ES6PS5KRGR5HMSBIHBTVN6DM2W

not attested not anchored not stored refs pending

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

Hongru Song, Xingxiao Li

arxiv:1511.03430 v2 · 2015-11-11 · 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{ES6PS5KRGR5HMSBIHBTVN6DM2W}

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	2026-05-18T01:25:24.163519Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24bcf97551347a764828386756f86cd5bdd7a43c9697832a5653a15334b02eab

Aliases

arxiv: 1511.03430 · arxiv_version: 1511.03430v2 · doi: 10.48550/arxiv.1511.03430 · pith_short_12: ES6PS5KRGR5H · pith_short_16: ES6PS5KRGR5HMSBI · pith_short_8: ES6PS5KR

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/ES6PS5KRGR5HMSBIHBTVN6DM2W \
  | 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: 24bcf97551347a764828386756f86cd5bdd7a43c9697832a5653a15334b02eab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8982584db130c1f6e1a0320b6bfd43ec63d2eb4cbee9b456cf379ee07f7e0004",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-11T09:57:25Z",
    "title_canon_sha256": "e8053ba47439dc0dde2447885d37f2b8e8ad9c772707e3dd9a91ff1a6a823b48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03430",
    "kind": "arxiv",
    "version": 2
  }
}