Pith Number

pith:BLC5CJTE

pith:2026:BLC5CJTERSHVNLIMO7INJVBDFI

not attested not anchored not stored refs pending

Spectral Invariance and Gevrey Regularity for Groups with strongly subexponential growth

Lin Chen, Qin Wang

arxiv:2607.03074 v1 · 2026-07-03 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BLC5CJTERSHVNLIMO7INJVBDFI}

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	2026-07-07T01:16:41.968207Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac5d126648c8f56ad0c77d0d4d4232a0471e1f44f9b0c82c7a286e5395635b2

Aliases

arxiv: 2607.03074 · arxiv_version: 2607.03074v1 · doi: 10.48550/arxiv.2607.03074 · pith_short_12: BLC5CJTERSHV · pith_short_16: BLC5CJTERSHVNLIM · pith_short_8: BLC5CJTE

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/BLC5CJTERSHVNLIMO7INJVBDFI \
  | 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: 0ac5d126648c8f56ad0c77d0d4d4232a0471e1f44f9b0c82c7a286e5395635b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd156c60e29183789137b3ef8e6cf78a78efa1c29663de9a057b76582cad564",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2026-07-03T08:09:38Z",
    "title_canon_sha256": "e7225356d4a099f84b38402419390ecb8a5fb892e9294775f0aebdaa467c7482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03074",
    "kind": "arxiv",
    "version": 1
  }
}