Pith Number

pith:4LZSEDL5

pith:2017:4LZSEDL5YIJOLQM5YQ7GQKM47Z

not attested not anchored not stored refs pending

Log-scale equidistribution of zeros of quantum ergodic eigensections

Robert Chang, Steve Zelditch

arxiv:1708.02333 v2 · 2017-08-07 · 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{4LZSEDL5YIJOLQM5YQ7GQKM47Z}

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	2026-07-05T00:00:33.397042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f3220d7dc212e5c19dc43e68299cfe6f258ce58b80392c5fc3e70a1ec5c8b7

Aliases

arxiv: 1708.02333 · arxiv_version: 1708.02333v2 · doi: 10.48550/arxiv.1708.02333 · pith_short_12: 4LZSEDL5YIJO · pith_short_16: 4LZSEDL5YIJOLQM5 · pith_short_8: 4LZSEDL5

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/4LZSEDL5YIJOLQM5YQ7GQKM47Z \
  | 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: e2f3220d7dc212e5c19dc43e68299cfe6f258ce58b80392c5fc3e70a1ec5c8b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcb9d35e7bf15143c0aa638f359b50233e5e9f3b9bdc940027b008314bf7f760",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-08-07T23:37:18Z",
    "title_canon_sha256": "6c55753eb637866827e1cc13be9e4db52cbc929ed487663d1c513faffdd100b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02333",
    "kind": "arxiv",
    "version": 2
  }
}