Pith Number

pith:CFTECAZI

pith:2026:CFTECAZIWKNRBQMUZUBE5GPNTI

not attested not anchored not stored refs pending

P\'{o}lya's conjecture for higher-dimensional Neumann balls

David A. Sher, Iosif Polterovich, Michael Levitin, Nikolay Filonov

arxiv:2607.29305 v1 · 2026-07-31 · 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{CFTECAZIWKNRBQMUZUBE5GPNTI}

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	2026-08-03T01:24:16.993600Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1166410328b29b10c194cd024e99ed9a118aa129e3b96be05a91c21a60cdf358

Aliases

arxiv: 2607.29305 · arxiv_version: 2607.29305v1 · doi: 10.48550/arxiv.2607.29305 · pith_short_12: CFTECAZIWKNR · pith_short_16: CFTECAZIWKNRBQMU · pith_short_8: CFTECAZI

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/CFTECAZIWKNRBQMUZUBE5GPNTI \
  | 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: 1166410328b29b10c194cd024e99ed9a118aa129e3b96be05a91c21a60cdf358

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1158650d76cccccea6b2745c207b7a1dfc98ec02f6ae9346761217cbe0418cd2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-07-31T11:24:02Z",
    "title_canon_sha256": "7c51ca212a366cd326eb890dcac51909d60451395fc9329e89b170ceba4aeac3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.29305",
    "kind": "arxiv",
    "version": 1
  }
}