Pith Number

pith:Q3NPH46E

pith:2018:Q3NPH46EGWHCEMPX4FPXZZIZ3N

not attested not anchored not stored refs pending

An infinite-dimensional helix invariant under spherical projections

Zakhar Kabluchko

arxiv:1811.09687 v1 · 2018-11-23 · math.PR · 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{Q3NPH46EGWHCEMPX4FPXZZIZ3N}

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	2026-05-18T00:00:01.476660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86daf3f3c4358e2231f7e15f7ce519db568e28f560006e0c0b99a5fc3481e00f

Aliases

arxiv: 1811.09687 · arxiv_version: 1811.09687v1 · doi: 10.48550/arxiv.1811.09687 · pith_short_12: Q3NPH46EGWHC · pith_short_16: Q3NPH46EGWHCEMPX · pith_short_8: Q3NPH46E

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/Q3NPH46EGWHCEMPX4FPXZZIZ3N \
  | 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: 86daf3f3c4358e2231f7e15f7ce519db568e28f560006e0c0b99a5fc3481e00f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0751615baece182cec2c7259f9eff3930ae2396a95feedc58e424b87b6e826f3",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-11-23T21:00:03Z",
    "title_canon_sha256": "633e8e1ff098dd15fd5ef265134cf594095778854b219f4a522a485508bcb69e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09687",
    "kind": "arxiv",
    "version": 1
  }
}