Pith Number

pith:UZF5NBQJ

pith:2024:UZF5NBQJW4DOPKMKWPFLYBMT5X

not attested not anchored not stored refs pending

Recursive algorithm and log-concavity of representations on the cohomology of $\overline{\mathcal M}_{0,n}$

Donggun Lee, Jinwon Choi, Young-Hoon Kiem

arxiv:2408.10728 v1 · 2024-08-20 · math.AG · 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{UZF5NBQJW4DOPKMKWPFLYBMT5X}

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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.

Cited by

2 papers in Pith

Real-rootedness of the Poincar\'e polynomials of $\overline{\mathcal M}_{0,n}$: an AI-assisted proof

Asymptotic distribution of the Betti numbers of $\overline{\mathcal{M}}_{0,n}$

Receipt and verification

First computed	2026-07-05T08:57:16.557234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a64bd68609b706e7a98ab3cabc0593edd230cd2ff5c5b24f3df1cf600dd2c379

Aliases

arxiv: 2408.10728 · arxiv_version: 2408.10728v1 · doi: 10.48550/arxiv.2408.10728 · pith_short_12: UZF5NBQJW4DO · pith_short_16: UZF5NBQJW4DOPKMK · pith_short_8: UZF5NBQJ

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/UZF5NBQJW4DOPKMKWPFLYBMT5X \
  | 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: a64bd68609b706e7a98ab3cabc0593edd230cd2ff5c5b24f3df1cf600dd2c379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d7eb54230a0ffb817cdfc5f1be6d92c3891d7219301642159018af13781d2ac",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-08-20T10:56:04Z",
    "title_canon_sha256": "8ba18b224f4b819a37028adce509a6dd86e81c1ea4c093c81ea5121020995f74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.10728",
    "kind": "arxiv",
    "version": 1
  }
}