Pith Number

pith:ESVO6XTS

pith:2026:ESVO6XTSXPC6635L3PPPLCI267

not attested not anchored not stored refs pending

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

Gergely B\'erczi, Young-Hoon Kiem

arxiv:2605.29151 v1 · 2026-05-27 · math.AG · cs.AI · cs.NE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESVO6XTSXPC6635L3PPPLCI267}

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	2026-05-29T01:05:20.995773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24aaef5e72bbc5ef6fabdbdef5891af7dafa1f6c9895ab3e820946ff262b8e12

Aliases

arxiv: 2605.29151 · arxiv_version: 2605.29151v1 · doi: 10.48550/arxiv.2605.29151 · pith_short_12: ESVO6XTSXPC6 · pith_short_16: ESVO6XTSXPC6635L · pith_short_8: ESVO6XTS

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/ESVO6XTSXPC6635L3PPPLCI267 \
  | 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: 24aaef5e72bbc5ef6fabdbdef5891af7dafa1f6c9895ab3e820946ff262b8e12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "793716e641a79f081a87a7275c3b51867c717abc0d4bf24dcb5c8347e2b3496a",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.NE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-05-27T22:26:05Z",
    "title_canon_sha256": "2386a3ab4f885e379ed337e6aaa3715bdc1f8cdc08d3c3e2fe06fdfaccdf975a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29151",
    "kind": "arxiv",
    "version": 1
  }
}