Pith Number

pith:3IGH2LBR

pith:2012:3IGH2LBRLZLMWFT3QCJXQ3TDS7

not attested not anchored not stored refs pending

Asymptotic Automorphism Groups of Circulant Graphs and Digraphs

Edward Dobson, Joy Morris, Soumya Bhoumik

arxiv:1203.0707 v1 · 2012-03-04 · 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{3IGH2LBRLZLMWFT3QCJXQ3TDS7}

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	2026-05-18T04:00:50.814365Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da0c7d2c315e56cb167b8093786e6397d3bb622d2ae0672781db98320724cb7b

Aliases

arxiv: 1203.0707 · arxiv_version: 1203.0707v1 · doi: 10.48550/arxiv.1203.0707 · pith_short_12: 3IGH2LBRLZLM · pith_short_16: 3IGH2LBRLZLMWFT3 · pith_short_8: 3IGH2LBR

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/3IGH2LBRLZLMWFT3QCJXQ3TDS7 \
  | 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: da0c7d2c315e56cb167b8093786e6397d3bb622d2ae0672781db98320724cb7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "818e12289fecce0ae90f635c6ccdbe36b95505da60ba560921bfbf22f15f8a44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-04T04:44:30Z",
    "title_canon_sha256": "19744ed4ceca9beb1ffdb44a14029f1b292fbec2426497f8fb7f9e82803986e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0707",
    "kind": "arxiv",
    "version": 1
  }
}