pith. sign in
Pith Number

pith:PAEIVTCO

pith:2016:PAEIVTCOY66R7I6JG5XHXDJZ3M
not attested not anchored not stored refs pending

Treelike snarks

Domenico Labbate, Giuseppe Mazzuoccolo, Mari\'en Abreu, Tomas Kaiser

arxiv:1601.00870 v1 · 2016-01-05 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PAEIVTCOY66R7I6JG5XHXDJZ3M}

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 2026-05-18T01:23:21.429429Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

78088acc4ec7bd1fa3c9376e7b8d39db39dd8693ed0a46ac6f51e2aaaae51387

Aliases

arxiv: 1601.00870 · arxiv_version: 1601.00870v1 · doi: 10.48550/arxiv.1601.00870 · pith_short_12: PAEIVTCOY66R · pith_short_16: PAEIVTCOY66R7I6J · pith_short_8: PAEIVTCO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PAEIVTCOY66R7I6JG5XHXDJZ3M \
  | 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: 78088acc4ec7bd1fa3c9376e7b8d39db39dd8693ed0a46ac6f51e2aaaae51387
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "223d68518bedafa79f6930a72fdf2058a172b7c78c1b8437469550a50b5effc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-05T15:43:48Z",
    "title_canon_sha256": "d3579c6a682e61630ebdd661e851e4fdbf5902a13e231837a2004c9a4f63c14d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00870",
    "kind": "arxiv",
    "version": 1
  }
}