pith. sign in
Pith Number

pith:V6B5ASOC

pith:2012:V6B5ASOCNBZA75VJ2HTSFFBVQS
not attested not anchored not stored refs pending

Splitting cycles in graphs

David Johannsen, David Marchette

arxiv:1204.5932 v1 · 2012-04-26 · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{V6B5ASOCNBZA75VJ2HTSFFBVQS}

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 2026-05-18T03:56:58.987756Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

af83d049c268720ff6a9d1e72294358495224259a709906167905c78ca049366

Aliases

arxiv: 1204.5932 · arxiv_version: 1204.5932v1 · doi: 10.48550/arxiv.1204.5932 · pith_short_12: V6B5ASOCNBZA · pith_short_16: V6B5ASOCNBZA75VJ · pith_short_8: V6B5ASOC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/V6B5ASOCNBZA75VJ2HTSFFBVQS \
  | 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: af83d049c268720ff6a9d1e72294358495224259a709906167905c78ca049366
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d027d7e16b942cc725f595f92d45a0f3c97064e5ecf2321f146669c26032a701",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-04-26T14:12:08Z",
    "title_canon_sha256": "6baa4d4eecc01552e6889b74301b1b0cc086a2696cdaa1f3dd99dfe6ca1da397"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.5932",
    "kind": "arxiv",
    "version": 1
  }
}