Pith Number

pith:6V4H5PR6

pith:2015:6V4H5PR6ZSC2S7GWU25TCW2JMK

not attested not anchored not stored refs pending

Minimal supports of eigenfunctions of Hamming graphs

Alexandr Valyuzhenich

arxiv:1512.02606 v1 · 2015-12-08 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6V4H5PR6ZSC2S7GWU25TCW2JMK}

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	2026-05-18T01:24:44.289959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5787ebe3ecc85a97cd6a6bb315b496293738875aa25a30d1aa86a7fd177fb2f

Aliases

arxiv: 1512.02606 · arxiv_version: 1512.02606v1 · doi: 10.48550/arxiv.1512.02606 · pith_short_12: 6V4H5PR6ZSC2 · pith_short_16: 6V4H5PR6ZSC2S7GW · pith_short_8: 6V4H5PR6

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/6V4H5PR6ZSC2S7GWU25TCW2JMK \
  | 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: f5787ebe3ecc85a97cd6a6bb315b496293738875aa25a30d1aa86a7fd177fb2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b68b050c9f72bd81f7eb99094f4177ade45da6e57514b7c134cd6da745564e97",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-08T19:56:36Z",
    "title_canon_sha256": "229164ba7b04123269d46a265becd1fe95c5419f892615b11602de58d6880e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02606",
    "kind": "arxiv",
    "version": 1
  }
}