Pith Number

pith:4GYS4VNT

pith:2014:4GYS4VNTVMDUG5PUANVP6IZZ4O

not attested not anchored not stored refs pending

Local distributions for eigenfunctions and for perfect colorings of q-ary hypercube

Anastasia Vasil'eva

arxiv:1412.7357 v1 · 2014-12-23 · 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{4GYS4VNTVMDUG5PUANVP6IZZ4O}

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	2026-05-18T02:30:39.057259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b12e55b3ab074375f4036aff2339e38d9ceec7b5fb90e2e763a4307eb5dc4c

Aliases

arxiv: 1412.7357 · arxiv_version: 1412.7357v1 · doi: 10.48550/arxiv.1412.7357 · pith_short_12: 4GYS4VNTVMDU · pith_short_16: 4GYS4VNTVMDUG5PU · pith_short_8: 4GYS4VNT

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/4GYS4VNTVMDUG5PUANVP6IZZ4O \
  | 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: e1b12e55b3ab074375f4036aff2339e38d9ceec7b5fb90e2e763a4307eb5dc4c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18bb5781156e62a7dfac5ad7c7dfd247c891b1c96eecbc04ade0fee043ea44b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-23T13:24:48Z",
    "title_canon_sha256": "007bf74aa0819ed516ab0871f397e69a0cde2f412815b6f3c8ec6b6157e8de4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7357",
    "kind": "arxiv",
    "version": 1
  }
}