Pith Number

pith:WT44ZW36

pith:2016:WT44ZW36VQ2QIHLBA6PUIDCFEL

not attested not anchored not stored refs pending

The Betti numbers of regular Hessenberg varieties are palindromic

Martha Precup

arxiv:1603.07662 v1 · 2016-03-24 · math.AG · 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{WT44ZW36VQ2QIHLBA6PUIDCFEL}

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	2026-05-18T01:18:20.203763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4f9ccdb7eac35041d61079f440c4522e4e1cdc314ab74ed1ff9b8252fd8fbcf

Aliases

arxiv: 1603.07662 · arxiv_version: 1603.07662v1 · doi: 10.48550/arxiv.1603.07662 · pith_short_12: WT44ZW36VQ2Q · pith_short_16: WT44ZW36VQ2QIHLB · pith_short_8: WT44ZW36

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/WT44ZW36VQ2QIHLBA6PUIDCFEL \
  | 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: b4f9ccdb7eac35041d61079f440c4522e4e1cdc314ab74ed1ff9b8252fd8fbcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54ca8ae46a5817ba40ab7dfe61d0c102d3b745a4f2b0f224dc2da05ed9a0c951",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-03-24T16:57:18Z",
    "title_canon_sha256": "0b0a0a65c2ad9833b0b56b442c0ea344787a76ad7e57bbea24b19f0a21d5b6c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07662",
    "kind": "arxiv",
    "version": 1
  }
}