Pith Number

pith:VWPVJRN5

pith:2011:VWPVJRN5PEIO42F2F2Z6QXN5AA

not attested not anchored not stored refs pending

On Coloring Properties of Graph Powers

Ali Taherkhani, Hossein Hajiabolhassan

arxiv:1104.4411 v1 · 2011-04-22 · 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{VWPVJRN5PEIO42F2F2Z6QXN5AA}

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	2026-05-18T04:23:34.657356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad9f54c5bd7910ee68ba2eb3e85dbd002bd111e1596abefd851619f90b4c678d

Aliases

arxiv: 1104.4411 · arxiv_version: 1104.4411v1 · doi: 10.48550/arxiv.1104.4411 · pith_short_12: VWPVJRN5PEIO · pith_short_16: VWPVJRN5PEIO42F2 · pith_short_8: VWPVJRN5

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/VWPVJRN5PEIO42F2F2Z6QXN5AA \
  | 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: ad9f54c5bd7910ee68ba2eb3e85dbd002bd111e1596abefd851619f90b4c678d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73086dcc9a0ba0f2cda6fce65f85b739520e88568f9e4be3c1cf941c4e7f2d95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-22T08:42:31Z",
    "title_canon_sha256": "992ff8af59ec9615fd3af23d02932d483d41cd233db786da758ee2c006031a05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.4411",
    "kind": "arxiv",
    "version": 1
  }
}