Pith Number

pith:CU3XLX5D

pith:2006:CU3XLX5DELJ62ZYRBPKATPJHBX

not attested not anchored not stored refs pending

A remark on the virtual homotopical dimension of some moduli spaces of stable Riemann surfaces

Gabriele Mondello

arxiv:math/0602111 v3 · 2006-02-06 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CU3XLX5DELJ62ZYRBPKATPJHBX}

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	2026-05-18T01:21:39.974137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153775dfa322d3ed67110bd409bd270dd50cba1c33125db7241babe7eaa9d1ef

Aliases

arxiv: math/0602111 · arxiv_version: math/0602111v3 · doi: 10.48550/arxiv.math/0602111 · pith_short_12: CU3XLX5DELJ6 · pith_short_16: CU3XLX5DELJ62ZYR · pith_short_8: CU3XLX5D

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/CU3XLX5DELJ62ZYRBPKATPJHBX \
  | 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: 153775dfa322d3ed67110bd409bd270dd50cba1c33125db7241babe7eaa9d1ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d1baa9ad252a271f7cddcb56f4b4de27177c812155cb9b599113f60a8419631",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-02-06T22:43:24Z",
    "title_canon_sha256": "b3a729ce444b9b18a74d2372eb2dfbbb967d1185e547811cc597ec380632193f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0602111",
    "kind": "arxiv",
    "version": 3
  }
}