Pith Number

pith:VCP7FMKN

pith:2014:VCP7FMKNWS7KE2OZSRXGPACGC4

not attested not anchored not stored refs pending

Treewidth of graphs with balanced separations

Sergey Norin, Zdenek Dvorak

arxiv:1408.3869 v2 · 2014-08-17 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VCP7FMKNWS7KE2OZSRXGPACGC4}

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	2026-05-17T23:57:51.187267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a89ff2b14db4bea269d9946e678046172fad16f26295e7e019a9d10a0cd2bb2f

Aliases

arxiv: 1408.3869 · arxiv_version: 1408.3869v2 · doi: 10.48550/arxiv.1408.3869 · pith_short_12: VCP7FMKNWS7K · pith_short_16: VCP7FMKNWS7KE2OZ · pith_short_8: VCP7FMKN

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/VCP7FMKNWS7KE2OZSRXGPACGC4 \
  | 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: a89ff2b14db4bea269d9946e678046172fad16f26295e7e019a9d10a0cd2bb2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "263267d5d0c35dcc8b67fda0993b548dc174740a8329ad2ee3e59c958404e76d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-17T22:14:36Z",
    "title_canon_sha256": "8de3645f8d3ec861238892e0d0a6cc685a4f73bf42cf0956b42c61b77bddb0fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3869",
    "kind": "arxiv",
    "version": 2
  }
}