Pith Number

pith:SYUCCQRW

pith:2023:SYUCCQRWQ24F4PMS3AR4MKQSFN

not attested not anchored not stored refs pending

The second rational homology of the Torelli group is finitely generated

Daniel Minahan

arxiv:2307.07082 v2 · 2023-07-13 · math.GT

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\usepackage{pith}
\pithnumber{SYUCCQRWQ24F4PMS3AR4MKQSFN}

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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

2 papers in Pith

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

Calculating the second rational cohomology group of the Torelli group

Receipt and verification

First computed	2026-07-05T10:44:36.112992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

962821423686b85e3d92d823c62a122b7cc1caff588adaeba2946ddbb0ba8118

Aliases

arxiv: 2307.07082 · arxiv_version: 2307.07082v2 · doi: 10.48550/arxiv.2307.07082 · pith_short_12: SYUCCQRWQ24F · pith_short_16: SYUCCQRWQ24F4PMS · pith_short_8: SYUCCQRW

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/SYUCCQRWQ24F4PMS3AR4MKQSFN \
  | 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: 962821423686b85e3d92d823c62a122b7cc1caff588adaeba2946ddbb0ba8118

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03f93976b0eb63593e79219f4ba6ee4821ec81e30e436703568af804b8d1c45b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-07-13T22:34:42Z",
    "title_canon_sha256": "62e2f30a4e4b995f639fc5847f9e888c1cbed9d38ecf459cb0478d096c7a9924"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.07082",
    "kind": "arxiv",
    "version": 2
  }
}