Pith Number

pith:MJFN23A5

pith:2013:MJFN23A5LG44ZN24GSMZ3NVKEQ

not attested not anchored not stored refs pending

Integer invariants of abelian Cayley graphs

Deelan M. Jalil, Joshua E. Ducey

arxiv:1308.2335 v2 · 2013-08-10 · math.CO · 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{MJFN23A5LG44ZN24GSMZ3NVKEQ}

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	2026-05-18T03:04:59.270673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

624add6c1d59b9ccb75c34999db6aa2402b5e98262dab6f8f588562dfed6002f

Aliases

arxiv: 1308.2335 · arxiv_version: 1308.2335v2 · doi: 10.48550/arxiv.1308.2335 · pith_short_12: MJFN23A5LG44 · pith_short_16: MJFN23A5LG44ZN24 · pith_short_8: MJFN23A5

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/MJFN23A5LG44ZN24GSMZ3NVKEQ \
  | 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: 624add6c1d59b9ccb75c34999db6aa2402b5e98262dab6f8f588562dfed6002f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4996472f74212e6374c4dfbcea1c4985e6a2a1f2884160a6d733af76d2cbe806",
    "cross_cats_sorted": [
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-10T19:36:14Z",
    "title_canon_sha256": "d996e3770aadc6ca148f53abf7d5a46e3684241b03ef52b2d35b3e46ef7d3219"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2335",
    "kind": "arxiv",
    "version": 2
  }
}