Pith Number

pith:UOIHJAMU

pith:2017:UOIHJAMU5NJX3DG7KPOR736M4I

not attested not anchored not stored refs pending

Odd induced subgraphs in graphs with treewidth at most two

Boyuan Liu, Jiaao Li, Lei Yu, Xinmin Hou

arxiv:1707.04812 v1 · 2017-07-16 · 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{UOIHJAMU5NJX3DG7KPOR736M4I}

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	2026-05-18T00:40:12.149179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a390748194eb537d8cdf53dd1fefcce2347df2638baef2089878fad594fde595

Aliases

arxiv: 1707.04812 · arxiv_version: 1707.04812v1 · doi: 10.48550/arxiv.1707.04812 · pith_short_12: UOIHJAMU5NJX · pith_short_16: UOIHJAMU5NJX3DG7 · pith_short_8: UOIHJAMU

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/UOIHJAMU5NJX3DG7KPOR736M4I \
  | 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: a390748194eb537d8cdf53dd1fefcce2347df2638baef2089878fad594fde595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce694f7d0e7073c4b167a6f679d02e21a68a5300be29237293f9ec2b2f5715e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-16T02:57:09Z",
    "title_canon_sha256": "de040ac02579f14a8466a89afeee1de8a6bd38c25f90fbc854bb9f0c66a88fbb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.04812",
    "kind": "arxiv",
    "version": 1
  }
}