Pith Number

pith:FLNB5GRO

pith:2012:FLNB5GROEULCW2K2T57YJ4CPVK

not attested not anchored not stored refs pending

The Gorenstein conjecture fails for the tautological ring of $\mathcal{\bar M}_{2,n}$

Dan Petersen, Orsola Tommasi

arxiv:1210.5761 v1 · 2012-10-21 · 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{FLNB5GROEULCW2K2T57YJ4CPVK}

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	2026-05-18T01:53:45.278037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ada1e9a2e25162b695a9f7f84f04faa9fc98f681ac91a060c0356a3b18e9bcf

Aliases

arxiv: 1210.5761 · arxiv_version: 1210.5761v1 · doi: 10.48550/arxiv.1210.5761 · pith_short_12: FLNB5GROEULC · pith_short_16: FLNB5GROEULCW2K2 · pith_short_8: FLNB5GRO

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/FLNB5GROEULCW2K2T57YJ4CPVK \
  | 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: 2ada1e9a2e25162b695a9f7f84f04faa9fc98f681ac91a060c0356a3b18e9bcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54ad7a6b89a868faf6be3939c8c433546e89343c9d69afa91cf7baead1780172",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-21T20:28:19Z",
    "title_canon_sha256": "7dccf1acd101d074abb750acde883a07d59f59e24f35f9867f437860b3d87015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5761",
    "kind": "arxiv",
    "version": 1
  }
}