Pith Number

pith:KQL557KN

pith:2019:KQL557KNZO56W7K3DHXYPV7J6L

not attested not anchored not stored refs pending

Upper bounds for bar visibility of subgraphs and n-vertex graphs

Douglas B. West, Yan Yang, Yuanrui Feng

arxiv:1904.08707 v1 · 2019-04-18 · 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{KQL557KNZO56W7K3DHXYPV7J6L}

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	2026-05-17T23:48:13.299106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5417defd4dcbbbeb7d5b19ef87d7e9f2c6ad9b08fe091932d6a87ca6680008c1

Aliases

arxiv: 1904.08707 · arxiv_version: 1904.08707v1 · doi: 10.48550/arxiv.1904.08707 · pith_short_12: KQL557KNZO56 · pith_short_16: KQL557KNZO56W7K3 · pith_short_8: KQL557KN

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/KQL557KNZO56W7K3DHXYPV7J6L \
  | 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: 5417defd4dcbbbeb7d5b19ef87d7e9f2c6ad9b08fe091932d6a87ca6680008c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1333f4958f413b30199025f01cc96b22d8ef738e902cbbffcb894b59b6aecc60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-04-18T11:46:33Z",
    "title_canon_sha256": "c21030df0b02ee3e46e37c9ed3a560aec48fd5f157ecbc74f99a531defd349a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08707",
    "kind": "arxiv",
    "version": 1
  }
}