Pith Number

pith:SJS44MKB

pith:2017:SJS44MKBAEB7I6LFP7NG2GJ7D7

not attested not anchored not stored refs pending

The rank function of a positroid and non-crossing partitions

Robert Mcalmon, Suho Oh

arxiv:1709.01580 v3 · 2017-09-05 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SJS44MKBAEB7I6LFP7NG2GJ7D7}

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	2026-05-18T00:09:36.484380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9265ce31410103f479657fda6d193f1fe518ecf6f0a9014cf55ad6a81813286d

Aliases

arxiv: 1709.01580 · arxiv_version: 1709.01580v3 · doi: 10.48550/arxiv.1709.01580 · pith_short_12: SJS44MKBAEB7 · pith_short_16: SJS44MKBAEB7I6LF · pith_short_8: SJS44MKB

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/SJS44MKBAEB7I6LFP7NG2GJ7D7 \
  | 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: 9265ce31410103f479657fda6d193f1fe518ecf6f0a9014cf55ad6a81813286d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6c0ef1f762c06b9b3aa2ef33191d732931ae611d271a8d88c1bc4f2ae34278e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-09-05T20:21:06Z",
    "title_canon_sha256": "f68a6847c019642d0a809dc6dae76618d9bbc612d89cba4edbbecc40d5c21a6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01580",
    "kind": "arxiv",
    "version": 3
  }
}