Pith Number

pith:AGRMDJPP

pith:2013:AGRMDJPPJUSSAWALY754HBH5HB

not attested not anchored not stored refs pending

Cayley graphs on abelian groups

Edward Dobson, Gabriel Verret, Pablo Spiga

arxiv:1306.3747 v2 · 2013-06-17 · 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{AGRMDJPPJUSSAWALY754HBH5HB}

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	2026-05-18T02:52:23.578857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a2c1a5ef4d2520580bc7fbc384fd38762b8178aaf0ff1b995178b38e9607a4

Aliases

arxiv: 1306.3747 · arxiv_version: 1306.3747v2 · doi: 10.48550/arxiv.1306.3747 · pith_short_12: AGRMDJPPJUSS · pith_short_16: AGRMDJPPJUSSAWAL · pith_short_8: AGRMDJPP

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/AGRMDJPPJUSSAWALY754HBH5HB \
  | 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: 01a2c1a5ef4d2520580bc7fbc384fd38762b8178aaf0ff1b995178b38e9607a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49a991c1aeb341bd320c559bdc9656e21bc5ddce92f288305510df054e41bd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-17T06:39:51Z",
    "title_canon_sha256": "8ac823f4ad41300eb461d4daf1114159e361c7c7246e09bf61d095ff7eeacc4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3747",
    "kind": "arxiv",
    "version": 2
  }
}