Pith Number

pith:AWIWHVIX

pith:2019:AWIWHVIXG6F5FZRSKAWLWLPI2Z

not attested not anchored not stored refs pending

Word-representability of Toeplitz graphs

Gi-Sang Cheon, Jinha Kim, Minki Kim, Sergey Kitaev

arxiv:1907.09152 v1 · 2019-07-22 · 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{AWIWHVIXG6F5FZRSKAWLWLPI2Z}

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	2026-05-17T23:39:59.977761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

059163d517378bd2e632502cbb2de8d6598681ebf2ee706871c8816304841989

Aliases

arxiv: 1907.09152 · arxiv_version: 1907.09152v1 · doi: 10.48550/arxiv.1907.09152 · pith_short_12: AWIWHVIXG6F5 · pith_short_16: AWIWHVIXG6F5FZRS · pith_short_8: AWIWHVIX

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/AWIWHVIXG6F5FZRSKAWLWLPI2Z \
  | 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: 059163d517378bd2e632502cbb2de8d6598681ebf2ee706871c8816304841989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33d1ff4c10f423321ee8545bdb3542a47bcf45b6c75f11ceafe3afda14773871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-22T06:40:37Z",
    "title_canon_sha256": "ca79bb8fe652f92c31c20bf227f76c6a7c9e90b63b5ae676c37b4f760b0ef10b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09152",
    "kind": "arxiv",
    "version": 1
  }
}