Pith Number

pith:OGHPHK56

pith:2026:OGHPHK56HDWBN7KNIEMZTUH725

not attested not anchored not stored refs pending

Sparse supports of lattice eigenfunctions: quantitative growth and algebraic rigidity

Yunlei Wang

arxiv:2608.01673 v1 · 2026-08-03 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OGHPHK56HDWBN7KNIEMZTUH725}

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	2026-08-04T02:06:23.419318Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

718ef3abbe38ec16fd4d411999d0ffd762f0d7ce14f54eb19f96b63020c30055

Aliases

arxiv: 2608.01673 · arxiv_version: 2608.01673v1 · doi: 10.48550/arxiv.2608.01673 · pith_short_12: OGHPHK56HDWB · pith_short_16: OGHPHK56HDWBN7KN · pith_short_8: OGHPHK56

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/OGHPHK56HDWBN7KNIEMZTUH725 \
  | 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: 718ef3abbe38ec16fd4d411999d0ffd762f0d7ce14f54eb19f96b63020c30055

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "489457fbf61e76831c94d1c787c06245b4691301a7a349964bc9b0c8a0bdbf76",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-08-03T04:07:59Z",
    "title_canon_sha256": "b0b3459690fa9df6241f3dfda323f8427763ff32137a2eee917c38ca3dadd3f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.01673",
    "kind": "arxiv",
    "version": 1
  }
}