Pith Number

pith:JU6RZSIX

pith:2019:JU6RZSIXQRLI3FDPHDUB457TJG

not attested not anchored not stored refs pending

A M\"{o}bius invariant discretization and decomposition of the M\"{o}bius energy

Aya Ishizeki, Simon Blatt, Takeyuki Nagasawa

arxiv:1904.06818 v1 · 2019-04-15 · 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{JU6RZSIXQRLI3FDPHDUB457TJG}

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	2026-05-17T23:48:36.110423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3d1cc91784568d946f38e81e77f349b7990f6882a2ccc930dd26a158fc9534

Aliases

arxiv: 1904.06818 · arxiv_version: 1904.06818v1 · doi: 10.48550/arxiv.1904.06818 · pith_short_12: JU6RZSIXQRLI · pith_short_16: JU6RZSIXQRLI3FDP · pith_short_8: JU6RZSIX

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/JU6RZSIXQRLI3FDPHDUB457TJG \
  | 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: 4d3d1cc91784568d946f38e81e77f349b7990f6882a2ccc930dd26a158fc9534

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c02863f873331700814d80b1dc2366984edad6901b18c1de88aa7e3e687d27ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-15T02:53:06Z",
    "title_canon_sha256": "b823e5470bf1b66e57682232098f1d10323a0f851e624ba85aaf998662039963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.06818",
    "kind": "arxiv",
    "version": 1
  }
}