Pith Number

pith:LURRMBAY

pith:2026:LURRMBAYWOFJFNEAXDWWUE57BC

not attested not anchored not stored refs pending

On the Betti numbers, Poincar\'e polynomials, and Euler characteristics of $\overline{\mathcal M}_{0,n}$

Giordano Cotti

arxiv:2607.26755 v1 · 2026-07-29 · math.AG · math-ph · math.CO · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LURRMBAYWOFJFNEAXDWWUE57BC}

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	2026-07-30T01:22:11.810441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

5d23160418b38a92b480b8ed6a13bf08be75c5ab22a0668cfc22a6f93449bb45

Aliases

arxiv: 2607.26755 · arxiv_version: 2607.26755v1 · doi: 10.48550/arxiv.2607.26755 · pith_short_12: LURRMBAYWOFJ · pith_short_16: LURRMBAYWOFJFNEA · pith_short_8: LURRMBAY

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/LURRMBAYWOFJFNEAXDWWUE57BC \
  | 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: 5d23160418b38a92b480b8ed6a13bf08be75c5ab22a0668cfc22a6f93449bb45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b4298fc4c92fe991a3d3e47865cfeca82f912399624534d3854baf49d2ef98f",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2026-07-29T10:51:34Z",
    "title_canon_sha256": "1d56bca3e7bf015568d3656232d734f3526505fc6cb5d8fd3be95aba54d2c9ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26755",
    "kind": "arxiv",
    "version": 1
  }
}