Pith Number

pith:ZARYCODB

pith:2026:ZARYCODBZI444VAKG2VVJJC3PN

not attested not anchored not stored refs pending

Signed circulants at the Ramanujan bound

Vaibhav Suvagiya

arxiv:2607.18334 v1 · 2026-07-19 · math.CO · cs.DM · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZARYCODBZI444VAKG2VVJJC3PN}

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	2026-07-22T00:22:42.238946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c823813861ca39ce540a36ab54a45b7b64e44694c51b7c4e251b41f379896230

Aliases

arxiv: 2607.18334 · arxiv_version: 2607.18334v1 · doi: 10.48550/arxiv.2607.18334 · pith_short_12: ZARYCODBZI44 · pith_short_16: ZARYCODBZI444VAK · pith_short_8: ZARYCODB

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/ZARYCODBZI444VAKG2VVJJC3PN \
  | 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: c823813861ca39ce540a36ab54a45b7b64e44694c51b7c4e251b41f379896230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74d26b858241b89ff80699d12b8269b25f7cc3c7390783400ca4a089798f9698",
    "cross_cats_sorted": [
      "cs.DM",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-19T17:33:48Z",
    "title_canon_sha256": "2a6e5189dd0e8c569339ecfd1bc089094d64b01e041190c1170cbd8d334ada40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18334",
    "kind": "arxiv",
    "version": 1
  }
}