Pith Number

pith:3A4A6TXQ

pith:2025:3A4A6TXQWEHPVSKMCQVO4R2LGS

not attested not anchored not stored refs pending

State Transfer on Unitary Cayley Graphs and Quadratic Unitary Cayley Graphs

Akash Kalita, Bikash Bhattacharjya

arxiv:2508.18068 v1 · 2025-08-25 · 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{3A4A6TXQWEHPVSKMCQVO4R2LGS}

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	2026-07-05T11:58:53.137726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8380f4ef0b10efac94c142aee474b34b0d025ec657daf78e651bc8de199d9e9

Aliases

arxiv: 2508.18068 · arxiv_version: 2508.18068v1 · doi: 10.48550/arxiv.2508.18068 · pith_short_12: 3A4A6TXQWEHP · pith_short_16: 3A4A6TXQWEHPVSKM · pith_short_8: 3A4A6TXQ

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/3A4A6TXQWEHPVSKMCQVO4R2LGS \
  | 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: d8380f4ef0b10efac94c142aee474b34b0d025ec657daf78e651bc8de199d9e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5138099396dd95f1fe6fc3781237562b4e0fb11b1c7c22cd56dd121495d36992",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-25T14:26:06Z",
    "title_canon_sha256": "be8e1b0f56e41ba2596aaca4e78a96c21bb0f8ddca4b3d6ccfcb06fda45d07ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.18068",
    "kind": "arxiv",
    "version": 1
  }
}