Pith Number

pith:Y2622GAF

pith:2017:Y2622GAFOCUQ4ATFQC4HPQVIN3

not attested not anchored not stored refs pending

Conformal symmetry breaking on differential forms and some applications

Toshiyuki Kobayashi

arxiv:1712.09212 v1 · 2017-12-26 · math.RT · math.DG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y2622GAFOCUQ4ATFQC4HPQVIN3}

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	2026-05-17T23:49:17.853502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6bdad180570a90e026580b877c2a86ef9e6b002377ce0810816313f4b2ec0ff

Aliases

arxiv: 1712.09212 · arxiv_version: 1712.09212v1 · doi: 10.48550/arxiv.1712.09212 · pith_short_12: Y2622GAFOCUQ · pith_short_16: Y2622GAFOCUQ4ATF · pith_short_8: Y2622GAF

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/Y2622GAFOCUQ4ATFQC4HPQVIN3 \
  | 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: c6bdad180570a90e026580b877c2a86ef9e6b002377ce0810816313f4b2ec0ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3985712b62ee4668a16504e4b56d9638b4e127517ef62dd718ce4aad22bb766c",
    "cross_cats_sorted": [
      "math.DG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-12-26T08:58:55Z",
    "title_canon_sha256": "bf2f0f32f88f58dec1b1549672066818e8e2cf6c93b294890f979098d8cdb50e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09212",
    "kind": "arxiv",
    "version": 1
  }
}