Pith Number

pith:VJIAJZKU

pith:2016:VJIAJZKUVSWZSBKC5UQA46DTZD

not attested not anchored not stored refs pending

Graph Homomorphisms via Vector Colorings

Antonios Varvitsiotis, Brendan Rooney, Chris Godsil, David E. Roberson, Robert \v{S}\'amal

arxiv:1610.10002 v3 · 2016-10-31 · 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{VJIAJZKUVSWZSBKC5UQA46DTZD}

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	2026-05-17T23:50:01.716494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa5004e554acad990542ed200e7873c8fa40929adef0adebe4db89f7e01f11e0

Aliases

arxiv: 1610.10002 · arxiv_version: 1610.10002v3 · doi: 10.48550/arxiv.1610.10002 · pith_short_12: VJIAJZKUVSWZ · pith_short_16: VJIAJZKUVSWZSBKC · pith_short_8: VJIAJZKU

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/VJIAJZKUVSWZSBKC5UQA46DTZD \
  | 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: aa5004e554acad990542ed200e7873c8fa40929adef0adebe4db89f7e01f11e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37109447f06dbf61a7bc1c984416886183cbf29b41b27c93eccd9f2ef6824128",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-31T16:30:08Z",
    "title_canon_sha256": "2aa70528099caa2f0dd91a7c7cf547182e109a3649f3e26ebcc8029e5177275c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.10002",
    "kind": "arxiv",
    "version": 3
  }
}