Pith Number

pith:CR6URWR4

pith:2018:CR6URWR4UB5KFGQO2RBEJP7WW3

not attested not anchored not stored refs pending

A M\"obius invariant discretization of O'Hara's M\"obius energy

Aya Ishizeki, Simon Blatt, Takeyuki Nagasawa

arxiv:1809.07984 v1 · 2018-09-21 · math.FA · math.GT · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CR6URWR4UB5KFGQO2RBEJP7WW3}

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	2026-05-18T00:05:10.673216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147d48da3ca07aa29a0ed44244bff6b6e5677fd4afafcbfea7b0417c1c4ca11e

Aliases

arxiv: 1809.07984 · arxiv_version: 1809.07984v1 · doi: 10.48550/arxiv.1809.07984 · pith_short_12: CR6URWR4UB5K · pith_short_16: CR6URWR4UB5KFGQO · pith_short_8: CR6URWR4

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/CR6URWR4UB5KFGQO2RBEJP7WW3 \
  | 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: 147d48da3ca07aa29a0ed44244bff6b6e5677fd4afafcbfea7b0417c1c4ca11e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83c2dae0b7fbf40ed18ac6f4f18874d4b6371ce7337570f40d684a5982b5e82b",
    "cross_cats_sorted": [
      "math.GT",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-09-21T08:26:43Z",
    "title_canon_sha256": "5d401983f61cfffa010050f5789463c97ce9c397a505a6c9dd27a9dfece531fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07984",
    "kind": "arxiv",
    "version": 1
  }
}