Pith Number

pith:72SU2OFQ

pith:2018:72SU2OFQRCQBXDWHE34CKSWVBV

not attested not anchored not stored refs pending

Dual Pairs and Regularization of Kummer Shapes in Resonances

Tomoki Ohsawa

arxiv:1810.07721 v3 · 2018-10-09 · math.CA · math-ph · math.DS · math.MP · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72SU2OFQRCQBXDWHE34CKSWVBV}

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	2026-05-17T23:39:41.607070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fea54d38b088a01b8ec726f8254ad50d46e041ba829533cb51d4d4fa5e608eed

Aliases

arxiv: 1810.07721 · arxiv_version: 1810.07721v3 · doi: 10.48550/arxiv.1810.07721 · pith_short_12: 72SU2OFQRCQB · pith_short_16: 72SU2OFQRCQBXDWH · pith_short_8: 72SU2OFQ

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/72SU2OFQRCQBXDWHE34CKSWVBV \
  | 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: fea54d38b088a01b8ec726f8254ad50d46e041ba829533cb51d4d4fa5e608eed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6175dfd57d6d6debc54d30218de5b38cc37c5c0935f2ba554101f6e7248fe55f",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-10-09T04:11:13Z",
    "title_canon_sha256": "28a5be16d7830946f0e0cece18057ff7f1d37be99a0961c627a7e32d1431f59a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07721",
    "kind": "arxiv",
    "version": 3
  }
}