Pith Number

pith:DNKBPPY3

pith:2017:DNKBPPY3L2NRSB2A62XZH2GGHV

not attested not anchored not stored refs pending

The tautological ring of $\mathcal{M}_{g,n}$ via Pandharipande-Pixton-Zvonkine $r$-spin relations

Danilo Lewanski, Farrokh Labib, Reinier Kramer, Sergey Shadrin

arxiv:1703.00681 v1 · 2017-03-02 · 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{DNKBPPY3L2NRSB2A62XZH2GGHV}

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	2026-05-18T00:02:45.831121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b5417bf1b5e9b190740f6af93e8c63d54b7b9e572b4e8f0bcf02b8ab3de4c85

Aliases

arxiv: 1703.00681 · arxiv_version: 1703.00681v1 · doi: 10.48550/arxiv.1703.00681 · pith_short_12: DNKBPPY3L2NR · pith_short_16: DNKBPPY3L2NRSB2A · pith_short_8: DNKBPPY3

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/DNKBPPY3L2NRSB2A62XZH2GGHV \
  | 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: 1b5417bf1b5e9b190740f6af93e8c63d54b7b9e572b4e8f0bcf02b8ab3de4c85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0159de7b71cd000036dfe8c4f6075d25705c518932091705610e8988022408",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-02T09:35:24Z",
    "title_canon_sha256": "1cbfeb20e014a38b7b3034d21fcfc565fb7371c541912a8237d5d68879a1545f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.00681",
    "kind": "arxiv",
    "version": 1
  }
}