Pith Number

pith:KH63IVX4

pith:2026:KH63IVX4CQ2G7BLVDBACNB6TQX

not attested not anchored not stored refs pending

Towards a characterization of idempotent Schur multipliers

Hamed Hatami, Marcel K. Goh

arxiv:2607.14316 v1 · 2026-07-15 · math.CA · cs.CC · 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{KH63IVX4CQ2G7BLVDBACNB6TQX}

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	2026-07-17T00:21:04.985854Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51fdb456fc14346f857518402687d385c28fce6b9609a92b69670c5916e6e218

Aliases

arxiv: 2607.14316 · arxiv_version: 2607.14316v1 · doi: 10.48550/arxiv.2607.14316 · pith_short_12: KH63IVX4CQ2G · pith_short_16: KH63IVX4CQ2G7BLV · pith_short_8: KH63IVX4

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/KH63IVX4CQ2G7BLVDBACNB6TQX \
  | 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: 51fdb456fc14346f857518402687d385c28fce6b9609a92b69670c5916e6e218

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6729ae86b7c918ee443ebca3ae4c2f3d81dd775f6f14d7036051d6b218be6fd0",
    "cross_cats_sorted": [
      "cs.CC",
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-15T19:25:30Z",
    "title_canon_sha256": "d3aa57efcc814e89e65340600815d15a6fdfc51c45a152d660d057785831e413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14316",
    "kind": "arxiv",
    "version": 1
  }
}