Pith Number

pith:X3DCU52B

pith:2017:X3DCU52BKYWJAJNRGN6GBD4QR6

not attested not anchored not stored refs pending

Minimal length maximal green sequences

Alexander Garver, Khrystyna Serhiyenko, Thomas McConville

arxiv:1702.07313 v1 · 2017-02-23 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X3DCU52BKYWJAJNRGN6GBD4QR6}

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	2026-05-18T00:06:31.117617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bec62a7741562c9025b1337c608f908fbb04ebaabd41fa5eeefebb94ac6a32c1

Aliases

arxiv: 1702.07313 · arxiv_version: 1702.07313v1 · doi: 10.48550/arxiv.1702.07313 · pith_short_12: X3DCU52BKYWJ · pith_short_16: X3DCU52BKYWJAJNR · pith_short_8: X3DCU52B

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/X3DCU52BKYWJAJNRGN6GBD4QR6 \
  | 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: bec62a7741562c9025b1337c608f908fbb04ebaabd41fa5eeefebb94ac6a32c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aba698a21ce71baf00a9739424af709cc087de0ffc1e92613542732bbab5389",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-23T17:57:14Z",
    "title_canon_sha256": "734ea6b8bf610211227af24949335eb7c7f8117bf160e7ae3682502562f68473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07313",
    "kind": "arxiv",
    "version": 1
  }
}