Pith Number

pith:6AK3VKVS

pith:2016:6AK3VKVSIOQZTRVU63ZZJT5QEW

not attested not anchored not stored refs pending

Crossing Number for Graphs With Bounded Pathwidth

Markus Chimani, Martin Derka, Petra Mutzel, Therese Biedl

arxiv:1612.03854 v2 · 2016-12-12 · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6AK3VKVSIOQZTRVU63ZZJT5QEW}

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	2026-05-18T00:33:02.289058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f015baaab243a199c6b4f6f394cfb0258cf1c78d0723e923173f04619d0a0e84

Aliases

arxiv: 1612.03854 · arxiv_version: 1612.03854v2 · doi: 10.48550/arxiv.1612.03854 · pith_short_12: 6AK3VKVSIOQZ · pith_short_16: 6AK3VKVSIOQZTRVU · pith_short_8: 6AK3VKVS

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/6AK3VKVSIOQZTRVU63ZZJT5QEW \
  | 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: f015baaab243a199c6b4f6f394cfb0258cf1c78d0723e923173f04619d0a0e84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f56a9db343774fdfcf866bfb699a01e35aa591ef33d1f6f99b4381ce490d2a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2016-12-12T19:12:47Z",
    "title_canon_sha256": "0dbd3ee966f8e60a3875d7adff75739b39138c986fb102404db2f449b816e57d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03854",
    "kind": "arxiv",
    "version": 2
  }
}