Pith Number

pith:CVQBWMOE

pith:2015:CVQBWMOED7VCAC6SFG4GIPUTB7

not attested not anchored not stored refs pending

A note on mean-value properties of harmonic functions on the hypercube

Petar Petrov

arxiv:1506.07013 v3 · 2015-06-16 · math.CA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CVQBWMOED7VCAC6SFG4GIPUTB7}

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	2026-05-18T01:35:00.498939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15601b31c41fea200bd229b8643e930fc66cc9a74ddfd14fcbdbcb236819c2b6

Aliases

arxiv: 1506.07013 · arxiv_version: 1506.07013v3 · doi: 10.48550/arxiv.1506.07013 · pith_short_12: CVQBWMOED7VC · pith_short_16: CVQBWMOED7VCAC6S · pith_short_8: CVQBWMOE

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/CVQBWMOED7VCAC6SFG4GIPUTB7 \
  | 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: 15601b31c41fea200bd229b8643e930fc66cc9a74ddfd14fcbdbcb236819c2b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d9dd640e3e240c0fdf305cffa40329fc83fd62beff08ccc3aa75c7965dd909",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-06-16T14:49:33Z",
    "title_canon_sha256": "3039b582e7a42692c6fe2d91d85d7da6b854054c670a08cbecd0e5d9ccf068f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07013",
    "kind": "arxiv",
    "version": 3
  }
}