Pith Number

pith:E2ZCI4UB

pith:2017:E2ZCI4UBJC3W7G636EJ2ILJAZ6

not attested not anchored not stored refs pending

Characterization of 1-Tough Graphs using Factors

H. Lu, M. Kano

arxiv:1702.05873 v2 · 2017-02-20 · 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{E2ZCI4UBJC3W7G636EJ2ILJAZ6}

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	2026-05-18T00:14:34.768986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26b224728148b76f9bdbf113a42d20cf818e09907d0b12d94ceb50a2d79e6ac8

Aliases

arxiv: 1702.05873 · arxiv_version: 1702.05873v2 · doi: 10.48550/arxiv.1702.05873 · pith_short_12: E2ZCI4UBJC3W · pith_short_16: E2ZCI4UBJC3W7G63 · pith_short_8: E2ZCI4UB

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/E2ZCI4UBJC3W7G636EJ2ILJAZ6 \
  | 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: 26b224728148b76f9bdbf113a42d20cf818e09907d0b12d94ceb50a2d79e6ac8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77438dd717d70f75620d79dcb6eade6b949581c169ee998714a3e7bf7f0e3061",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-20T06:30:18Z",
    "title_canon_sha256": "37bcb5ae59a9de7de2fd0e094c09419deca820deda4c1eb9884e383af9f8bf85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05873",
    "kind": "arxiv",
    "version": 2
  }
}