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Pith Number

pith:RAQ4257P

pith:2011:RAQ4257PGG5KJPCOU4DKKAOFSC
not attested not anchored not stored refs pending

On group choosability of total graphs

G. Raeisi, G.R. Omidi, H.J. Lai

arxiv:1105.4940 v1 · 2011-05-25 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RAQ4257PGG5KJPCOU4DKKAOFSC}

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 2026-05-18T04:21:21.048671Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8821cd77ef31baa4bc4ea706a501c5909d06fee9638c69c8e8194f83deb2e56c

Aliases

arxiv: 1105.4940 · arxiv_version: 1105.4940v1 · doi: 10.48550/arxiv.1105.4940 · pith_short_12: RAQ4257PGG5K · pith_short_16: RAQ4257PGG5KJPCO · pith_short_8: RAQ4257P
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RAQ4257PGG5KJPCOU4DKKAOFSC \
  | 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: 8821cd77ef31baa4bc4ea706a501c5909d06fee9638c69c8e8194f83deb2e56c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e7e0ef7fdfa2840c969c421b2b46f803b91ac74af7463ee34fe19de10e39b028",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-25T06:12:09Z",
    "title_canon_sha256": "84b4d7b3cc312afa85dc79b52a8aeac84bacf254236e2268bbd364b6cc17f902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4940",
    "kind": "arxiv",
    "version": 1
  }
}