Pith Number

pith:KYGZ43IQ

pith:2017:KYGZ43IQGWM3ZAZBGIYAL2MIED

not attested not anchored not stored refs pending

Greene--Kleitman invariants for Sulzgruber insertion

Alexander Garver, Rebecca Patrias

arxiv:1708.09720 v1 · 2017-08-31 · 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{KYGZ43IQGWM3ZAZBGIYAL2MIED}

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	2026-05-18T00:36:15.639547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

560d9e6d103599bc8321323005e98820f336819b6a3ead97e8c045b1ea7d70f7

Aliases

arxiv: 1708.09720 · arxiv_version: 1708.09720v1 · doi: 10.48550/arxiv.1708.09720 · pith_short_12: KYGZ43IQGWM3 · pith_short_16: KYGZ43IQGWM3ZAZB · pith_short_8: KYGZ43IQ

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/KYGZ43IQGWM3ZAZBGIYAL2MIED \
  | 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: 560d9e6d103599bc8321323005e98820f336819b6a3ead97e8c045b1ea7d70f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cb350833e8839448a5b2135785fff6146fee9460657d4b041f13132d9395b78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-31T14:04:45Z",
    "title_canon_sha256": "4d0c4a8381f471d8bcf1e785ca8bb28717b40e9fe14a7438938242a38bb13070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.09720",
    "kind": "arxiv",
    "version": 1
  }
}