Pith Number

pith:QRNEBVR3

pith:2002:QRNEBVR3TMPBJQJ7LFFH7LUZBP

not attested not anchored not stored refs pending

The rational cohomology ring of the moduli space of abelian 3-folds

Richard Hain

arxiv:math/0203057 v2 · 2002-03-06 · math.AG · math.GT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRNEBVR3TMPBJQJ7LFFH7LUZBP}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-04T14:35:57.676247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

845a40d63b9b1e14c13f594a7fae990bda81a12038c6bbd9cf9b39e18836c69a

Aliases

arxiv: math/0203057 · arxiv_version: math/0203057v2 · doi: 10.48550/arxiv.math/0203057 · pith_short_12: QRNEBVR3TMPB · pith_short_16: QRNEBVR3TMPBJQJ7 · pith_short_8: QRNEBVR3

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/QRNEBVR3TMPBJQJ7LFFH7LUZBP \
  | 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: 845a40d63b9b1e14c13f594a7fae990bda81a12038c6bbd9cf9b39e18836c69a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79d1a31a5447274011a29055ffd0da991fc1e11af94ad1b34747463e175bead3",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-03-06T20:47:21Z",
    "title_canon_sha256": "d563ab2e22984e03a9aac579674ec81caa599d7ba14560e7bfa62f92f2250551"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0203057",
    "kind": "arxiv",
    "version": 2
  }
}