Pith Number

pith:Z6JPOJ6T

pith:2016:Z6JPOJ6TTH5MAFSHAQETFHT7CG

not attested not anchored not stored refs pending

Conformal symmetry breaking operators for differential forms on spheres

Michael Pevzner, Toshihisa Kubo, Toshiyuki Kobayashi

arxiv:1605.09272 v2 · 2016-05-30 · math.DG · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6JPOJ6TTH5MAFSHAQETFHT7CG}

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	2026-05-18T01:03:36.337604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf92f727d399fac016470409329e7f1185999f1bd05885ebf0cda97a1430b602

Aliases

arxiv: 1605.09272 · arxiv_version: 1605.09272v2 · doi: 10.48550/arxiv.1605.09272 · pith_short_12: Z6JPOJ6TTH5M · pith_short_16: Z6JPOJ6TTH5MAFSH · pith_short_8: Z6JPOJ6T

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/Z6JPOJ6TTH5MAFSHAQETFHT7CG \
  | 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: cf92f727d399fac016470409329e7f1185999f1bd05885ebf0cda97a1430b602

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13cccecd9fc1518c9dea3f8ee9a1baa184a4606f549b383b12fe91eba52ea208",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-05-30T15:19:39Z",
    "title_canon_sha256": "a4c2a0a8d892b3e07b9086d820e20756316294c15c760581978f466fbb27b640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.09272",
    "kind": "arxiv",
    "version": 2
  }
}