Pith Number

pith:BFHN4P6F

pith:2026:BFHN4P6FLB5MOXSTPTKW6DIMD3

not attested not anchored not stored refs pending

Localization of eigenfunctions in amenable unimodular random networks

Georgii Veprev

arxiv:2606.17187 v1 · 2026-06-15 · 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{BFHN4P6FLB5MOXSTPTKW6DIMD3}

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	2026-06-19T16:10:05.374885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

094ede3fc5587ac75e537cd56f0d0c1ec3f18e16031b3f2493630a31fc2361c8

Aliases

arxiv: 2606.17187 · arxiv_version: 2606.17187v1 · doi: 10.48550/arxiv.2606.17187 · pith_short_12: BFHN4P6FLB5M · pith_short_16: BFHN4P6FLB5MOXST · pith_short_8: BFHN4P6F

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/BFHN4P6FLB5MOXSTPTKW6DIMD3 \
  | 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: 094ede3fc5587ac75e537cd56f0d0c1ec3f18e16031b3f2493630a31fc2361c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7983a4a0967a277f081ee0bbce8d6e3eab566a135962ede7a1eea25f08aa0b2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-06-15T18:25:08Z",
    "title_canon_sha256": "7441a2ed148f2c6dbe7aa61dcc8fdb27816a25e6e5d57d39167f3d0eddc0a3b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17187",
    "kind": "arxiv",
    "version": 1
  }
}