Pith Number

pith:6IS2FOHN

pith:2015:6IS2FOHNVOUFB3VXYRCYIGY6WS

not attested not anchored not stored refs pending

Shortest circuit covers of signed graphs

Cun-Quan Zhang, Jian Cheng, Rong Luo, You Lu

arxiv:1510.05717 v1 · 2015-10-19 · 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{6IS2FOHNVOUFB3VXYRCYIGY6WS}

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	2026-05-18T01:29:39.904075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f225a2b8edaba850eeb7c445841b1eb4bb3ee1c65765ff0c30c1c29af6110253

Aliases

arxiv: 1510.05717 · arxiv_version: 1510.05717v1 · doi: 10.48550/arxiv.1510.05717 · pith_short_12: 6IS2FOHNVOUF · pith_short_16: 6IS2FOHNVOUFB3VX · pith_short_8: 6IS2FOHN

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/6IS2FOHNVOUFB3VXYRCYIGY6WS \
  | 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: f225a2b8edaba850eeb7c445841b1eb4bb3ee1c65765ff0c30c1c29af6110253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65e92c7188ad596aaece7f68665f732f6d5b2f5eae36fe598510d478f866be2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-19T23:22:39Z",
    "title_canon_sha256": "7f96043d83c0f31d56678881323b5c1d0a27a686554118e02cdd1566deedb435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05717",
    "kind": "arxiv",
    "version": 1
  }
}