Pith Number

pith:HZVLEQ5V

pith:2017:HZVLEQ5VWYKHDX7E6WTM3H2W2O

not attested not anchored not stored refs pending

Sphere geometry and invariants

Oliver Knill

arxiv:1702.03606 v1 · 2017-02-13 · math.GN · cs.DM · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZVLEQ5VWYKHDX7E6WTM3H2W2O}

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.

Cited by

1 paper in Pith

The energy of a simplicial complex

Receipt and verification

First computed	2026-05-18T00:50:53.403837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e6ab243b5b61471dfe4f5a6cd9f56d381f056bb57af1cfda9c813af983da9c2

Aliases

arxiv: 1702.03606 · arxiv_version: 1702.03606v1 · doi: 10.48550/arxiv.1702.03606 · pith_short_12: HZVLEQ5VWYKH · pith_short_16: HZVLEQ5VWYKHDX7E · pith_short_8: HZVLEQ5V

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/HZVLEQ5VWYKHDX7E6WTM3H2W2O \
  | 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: 3e6ab243b5b61471dfe4f5a6cd9f56d381f056bb57af1cfda9c813af983da9c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d738095e6831f5a0410020ece71c5efcee9d5fde0167b06f8efb723723a4e20",
    "cross_cats_sorted": [
      "cs.DM",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2017-02-13T01:38:13Z",
    "title_canon_sha256": "bb5ae6017169470450a9b93e1757861a68fa9373dd372e810794fe7f5de8735a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03606",
    "kind": "arxiv",
    "version": 1
  }
}