Pith Number

pith:XAUS473K

pith:2013:XAUS473KEMGR57GXRC4OUPNVGK

not attested not anchored not stored refs pending

Feedback arc set problem and NP-hardness of minimum recurrent configuration problem of Chip-firing game on directed graphs

K\'evin Perrot, Trung Van Pham

arxiv:1303.3708 v5 · 2013-03-15 · cs.CC · cs.DM · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XAUS473KEMGR57GXRC4OUPNVGK}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:57:23.744132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8292e7f6a230d1efcd788b8ea3db532ad1d76c64b1c3b068cdeb53c05c287e6

Aliases

arxiv: 1303.3708 · arxiv_version: 1303.3708v5 · doi: 10.48550/arxiv.1303.3708 · pith_short_12: XAUS473KEMGR · pith_short_16: XAUS473KEMGR57GX · pith_short_8: XAUS473K

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/XAUS473KEMGR57GXRC4OUPNVGK \
  | 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: b8292e7f6a230d1efcd788b8ea3db532ad1d76c64b1c3b068cdeb53c05c287e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "763d65a5b22560126dc83cbfa513b9628620d5fc5bf841b958a9ee72220ff511",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-03-15T09:07:55Z",
    "title_canon_sha256": "99f71a539e833e70e1d8824eeab7970336b5ca9c61602141b35fc7275ed5557a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3708",
    "kind": "arxiv",
    "version": 5
  }
}