Pith. sign in
Pith Number

pith:35EAGQJB

pith:2012:35EAGQJBS4U6E4AYPJGD372YR6
not attested not anchored not stored refs pending

Annular noncrossing permutations and minimal transitive factorizations

Heesung Shin, Jang Soo Kim, Seunghyun Seo

arxiv:1201.5703 v2 · 2012-01-27 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{35EAGQJBS4U6E4AYPJGD372YR6}

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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 2026-07-05T04:06:38.719360Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

df480341219729e270187a4c3dff588f9da1e5b9fae50f3c5d58ce20f389ce78

Aliases

arxiv: 1201.5703 · arxiv_version: 1201.5703v2 · doi: 10.48550/arxiv.1201.5703 · pith_short_12: 35EAGQJBS4U6 · pith_short_16: 35EAGQJBS4U6E4AY · pith_short_8: 35EAGQJB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/35EAGQJBS4U6E4AYPJGD372YR6 \
  | 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: df480341219729e270187a4c3dff588f9da1e5b9fae50f3c5d58ce20f389ce78
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0ea67ac413ee7f35fb1f113aa354d77ab699d0905f21242c21b767682d069446",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-01-27T05:46:23Z",
    "title_canon_sha256": "96bb0319b58d5d0d800c8bfd165e33af1236afdb7dc0b80e4d3067628779d396"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5703",
    "kind": "arxiv",
    "version": 2
  }
}