Pith Number

pith:Q3WA5VZX

pith:2011:Q3WA5VZXZBEFWRAANRVGYYINNG

not attested not anchored not stored refs pending

The Chow ring of the moduli space of curves of genus zero

Mehdi Tavakol

arxiv:1101.0847 v1 · 2011-01-04 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3WA5VZXZBEFWRAANRVGYYINNG}

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	2026-05-18T00:45:05.019625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86ec0ed737c8485b44006c6a6c610d69bbc9f5caecdefac7a463d5cd31e27dc3

Aliases

arxiv: 1101.0847 · arxiv_version: 1101.0847v1 · doi: 10.48550/arxiv.1101.0847 · pith_short_12: Q3WA5VZXZBEF · pith_short_16: Q3WA5VZXZBEFWRAA · pith_short_8: Q3WA5VZX

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/Q3WA5VZXZBEFWRAANRVGYYINNG \
  | 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: 86ec0ed737c8485b44006c6a6c610d69bbc9f5caecdefac7a463d5cd31e27dc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc5e4b04132c7ce3ed5d110ab7b6d83f207e517a00d224743de4c9867093ea11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-04T23:00:26Z",
    "title_canon_sha256": "cbfb3eb04208bd1e2e1825d33fc5108328789fc5f4208c2ed7af6025f250b3a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0847",
    "kind": "arxiv",
    "version": 1
  }
}