Pith Number

pith:C7YKEWAL

pith:2025:C7YKEWALUSBJBS4LRDQN5B6CT7

not attested not anchored not stored refs pending

The second rational homology of the Torelli group

Andrew Putman, Daniel Minahan

arxiv:2504.00211 v1 · 2025-03-31 · math.GT · math.AT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C7YKEWALUSBJBS4LRDQN5B6CT7}

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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.

Cited by

3 papers in Pith

Finite generation, algebraicity, and representation stability for homology of Torelli groups

Torsion in the homology of the Torelli group and the Birman-Craggs-Johnson homomorphism

Calculating the second rational cohomology group of the Torelli group

Receipt and verification

First computed	2026-07-05T10:42:21.859998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f0a2580ba48290cb8b88e0de87c29ff1604c1aa6b80e88509d90ecd7c09223

Aliases

arxiv: 2504.00211 · arxiv_version: 2504.00211v1 · doi: 10.48550/arxiv.2504.00211 · pith_short_12: C7YKEWALUSBJ · pith_short_16: C7YKEWALUSBJBS4L · pith_short_8: C7YKEWAL

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/C7YKEWALUSBJBS4LRDQN5B6CT7 \
  | 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: 17f0a2580ba48290cb8b88e0de87c29ff1604c1aa6b80e88509d90ecd7c09223

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2a9d8167035e3e69c6b9bcd08a0e3fc4494d10be534de4b31101070188b32c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-03-31T20:34:40Z",
    "title_canon_sha256": "aba2ae12b1c55ba7d9e24c65296bf9109c974a85cb7eec515837374f4897ae8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.00211",
    "kind": "arxiv",
    "version": 1
  }
}