Pith Number

pith:3SEOJDS3

pith:2012:3SEOJDS3LXNOEHWVH4LUBKDRVE

not attested not anchored not stored refs pending

Gram matrices of reproducing kernel Hilbert spaces over graphs

Michio Seto, Sho Suda, Tetsuji Taniguchi

arxiv:1212.4346 v1 · 2012-12-18 · math.CO · 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{3SEOJDS3LXNOEHWVH4LUBKDRVE}

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	2026-05-18T03:38:13.263732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc88e48e5b5ddae21ed53f1740a871a9171e372960da7d002bc013875e1b51a2

Aliases

arxiv: 1212.4346 · arxiv_version: 1212.4346v1 · doi: 10.48550/arxiv.1212.4346 · pith_short_12: 3SEOJDS3LXNO · pith_short_16: 3SEOJDS3LXNOEHWV · pith_short_8: 3SEOJDS3

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/3SEOJDS3LXNOEHWVH4LUBKDRVE \
  | 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: dc88e48e5b5ddae21ed53f1740a871a9171e372960da7d002bc013875e1b51a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d31639ef56d755d959c0dcbfc22a7f1c57ccf92fd02fa8b9272c8064278c655",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-18T13:33:11Z",
    "title_canon_sha256": "5ec6eddf0bb7e931763100c05979e1b611497d2a1f1178956998f7051da48189"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4346",
    "kind": "arxiv",
    "version": 1
  }
}