Pith Number

pith:5PNGE5K6

pith:2011:5PNGE5K6GYN3PZBMNPCMQR22OG

not attested not anchored not stored refs pending

Submanifolds in five-dimensional pseudo-Euclidean spaces and four-dimensional FRW universes

Igor E. Gulamov, Mikhail N. Smolyakov

arxiv:1111.0687 v2 · 2011-11-02 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5PNGE5K6GYN3PZBMNPCMQR22OG}

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	2026-05-18T04:00:26.507540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebda62755e361bb7e42c6bc4c8475a71af5c5b12dd4ac1279cda3d5ee3882b7e

Aliases

arxiv: 1111.0687 · arxiv_version: 1111.0687v2 · doi: 10.48550/arxiv.1111.0687 · pith_short_12: 5PNGE5K6GYN3 · pith_short_16: 5PNGE5K6GYN3PZBM · pith_short_8: 5PNGE5K6

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/5PNGE5K6GYN3PZBMNPCMQR22OG \
  | 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: ebda62755e361bb7e42c6bc4c8475a71af5c5b12dd4ac1279cda3d5ee3882b7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0323d868bc43906241e56ab781ca30da052a225471438dba653e7aefea530cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-02T23:10:26Z",
    "title_canon_sha256": "cb43aaff9bf0194adf46441e82e50b18f42f8f7f2ac2d804d715523332b1bdd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0687",
    "kind": "arxiv",
    "version": 2
  }
}