Pith Number

pith:G7CZ2NHA

pith:2016:G7CZ2NHADKZITRYAIBVOMYC3SL

not attested not anchored not stored refs pending

Global analysis by hidden symmetry

Toshiyuki Kobayashi

arxiv:1608.08356 v2 · 2016-08-30 · math.RT · math-ph · math.DG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7CZ2NHADKZITRYAIBVOMYC3SL}

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	2026-05-17T23:49:12.274979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37c59d34e01ab289c700406ae6605b92f16609835fc2413576c0e5d652b783b9

Aliases

arxiv: 1608.08356 · arxiv_version: 1608.08356v2 · doi: 10.48550/arxiv.1608.08356 · pith_short_12: G7CZ2NHADKZI · pith_short_16: G7CZ2NHADKZITRYA · pith_short_8: G7CZ2NHA

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/G7CZ2NHADKZITRYAIBVOMYC3SL \
  | 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: 37c59d34e01ab289c700406ae6605b92f16609835fc2413576c0e5d652b783b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cdc8fc200bbd3f17d447338088b7bb8565528ddfbd4da3b8ddb0bad5dea2259a",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-08-30T08:17:15Z",
    "title_canon_sha256": "7390a109cfd9022796f2281ee48af7b3766b0892e48768588bba1f1f626316b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08356",
    "kind": "arxiv",
    "version": 2
  }
}