Pith Number

pith:VXG2FVIV

pith:2019:VXG2FVIVDTSOJLBTD4EVAG3URZ

not attested not anchored not stored refs pending

Riemann moduli spaces are quantum ergodic

Dean Baskin, Jesse Gell-Redman, Xiaolong Han

arxiv:1908.06949 v2 · 2019-08-19 · math.AP · 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{VXG2FVIVDTSOJLBTD4EVAG3URZ}

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	2026-07-05T02:27:18.222978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adcda2d5151ce4e4ac331f09501b748e5231e3adfd64f2e354d1b45003c3a102

Aliases

arxiv: 1908.06949 · arxiv_version: 1908.06949v2 · doi: 10.48550/arxiv.1908.06949 · pith_short_12: VXG2FVIVDTSO · pith_short_16: VXG2FVIVDTSOJLBT · pith_short_8: VXG2FVIV

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/VXG2FVIVDTSOJLBTD4EVAG3URZ \
  | 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: adcda2d5151ce4e4ac331f09501b748e5231e3adfd64f2e354d1b45003c3a102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "855330a97810c89f5bc111dd3b1a9f09b3c4475c86f8ee5b29134118559163b5",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-19T17:37:15Z",
    "title_canon_sha256": "d68bab24fa6dc7f07bb190896cbde8fedf7e2d47741bf0a30ea5606e75112078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06949",
    "kind": "arxiv",
    "version": 2
  }
}