Pith Number

pith:MAYORGU6

pith:2019:MAYORGU6IHCKOS33W6OL6RSCPX

not attested not anchored not stored refs pending

Spectral analysis on standard locally homogeneous spaces

Fanny Kassel, Toshiyuki Kobayashi

arxiv:1912.12601 v2 · 2019-12-29 · math.RT · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MAYORGU6IHCKOS33W6OL6RSCPX}

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	2026-07-05T11:20:41.573510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6030e89a9e41c4a74b7bb79cbf46427deaa90f25a70ee7362a0e5e42a7e8f10b

Aliases

arxiv: 1912.12601 · arxiv_version: 1912.12601v2 · doi: 10.48550/arxiv.1912.12601 · pith_short_12: MAYORGU6IHCK · pith_short_16: MAYORGU6IHCKOS33 · pith_short_8: MAYORGU6

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/MAYORGU6IHCKOS33W6OL6RSCPX \
  | 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: 6030e89a9e41c4a74b7bb79cbf46427deaa90f25a70ee7362a0e5e42a7e8f10b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e40a876c7f6e637672c2f341c27fb56751921cbe068ec50c6d8ad353158874ec",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-12-29T07:41:47Z",
    "title_canon_sha256": "5f4d5417180cd8fd298af6efa7c9d034b60b28e88aa2a91dc8140287144e1b8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.12601",
    "kind": "arxiv",
    "version": 2
  }
}