Pith Number

pith:3SLJLJAI

pith:2017:3SLJLJAI5Q4BCF2TE26Z23FWML

not attested not anchored not stored refs pending

Undesired parking spaces and contractible pieces of the noncrossing partition link

Jon McCammond, Michael Dougherty

arxiv:1707.06620 v1 · 2017-07-20 · math.CO · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3SLJLJAI5Q4BCF2TE26Z23FWML}

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	2026-05-18T00:39:53.386847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc9695a408ec3811175326bd9d6cb662c3ced4deab528a1147baa6bb3e4f5ba2

Aliases

arxiv: 1707.06620 · arxiv_version: 1707.06620v1 · doi: 10.48550/arxiv.1707.06620 · pith_short_12: 3SLJLJAI5Q4B · pith_short_16: 3SLJLJAI5Q4BCF2T · pith_short_8: 3SLJLJAI

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/3SLJLJAI5Q4BCF2TE26Z23FWML \
  | 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: dc9695a408ec3811175326bd9d6cb662c3ced4deab528a1147baa6bb3e4f5ba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780e7758be0aae880f85eb1e9ce7580d4a0573190a92059506925ff3add226f6",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-07-20T17:26:06Z",
    "title_canon_sha256": "a94a2ff5fa57c7b8eaba2a22588fd0145f34fdcac17032a4e290d02f7b522c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06620",
    "kind": "arxiv",
    "version": 1
  }
}