Pith Number

pith:VCJLTRIU

pith:2017:VCJLTRIUVH2NKGI6QY5QMYVOYW

not attested not anchored not stored refs pending

The Automorphism Group of the Reduced Complete-Empty $X-$Join of Graphs

Adel Tadayyonfar, Ali Reza Ashrafi

arxiv:1709.00706 v1 · 2017-09-03 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCJLTRIUVH2NKGI6QY5QMYVOYW}

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	2026-05-18T00:36:05.370466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a892b9c514a9f4d5191e863b0662aec59d38d2056fe10c31f932d4498f10483d

Aliases

arxiv: 1709.00706 · arxiv_version: 1709.00706v1 · doi: 10.48550/arxiv.1709.00706 · pith_short_12: VCJLTRIUVH2N · pith_short_16: VCJLTRIUVH2NKGI6 · pith_short_8: VCJLTRIU

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/VCJLTRIUVH2NKGI6QY5QMYVOYW \
  | 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: a892b9c514a9f4d5191e863b0662aec59d38d2056fe10c31f932d4498f10483d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b854dbd9f82d387280cbe912bddc286434260016a3765d4fc71ac7523946b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-03T12:01:10Z",
    "title_canon_sha256": "dc52b7fdd0bfac7f328f53c0610cd54876e497227344b71e97e2c687e7d3103b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00706",
    "kind": "arxiv",
    "version": 1
  }
}