Pith Number

pith:E7FXMP4A

pith:2026:E7FXMP4ANWG3LI7UTRHGYLKBAU

not attested not anchored not stored refs pending

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

Alexander A. Gaifullin

arxiv:2606.13517 v1 · 2026-06-11 · math.GT · math.AT · math.GR · 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{E7FXMP4ANWG3LI7UTRHGYLKBAU}

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	2026-06-12T01:10:07.926092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27cb763f806d8db5a3f49c4e6c2d41053d44dec4c946f483c9e9e0174ce17544

Aliases

arxiv: 2606.13517 · arxiv_version: 2606.13517v1 · doi: 10.48550/arxiv.2606.13517 · pith_short_12: E7FXMP4ANWG3 · pith_short_16: E7FXMP4ANWG3LI7U · pith_short_8: E7FXMP4A

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/E7FXMP4ANWG3LI7UTRHGYLKBAU \
  | 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: 27cb763f806d8db5a3f49c4e6c2d41053d44dec4c946f483c9e9e0174ce17544

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c08785aafdbb07455d338637953827b72c94a0c5d9de2beba80a81dc3768a1e",
    "cross_cats_sorted": [
      "math.AT",
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-06-11T16:07:29Z",
    "title_canon_sha256": "50b09f31ab195de3061c429ba34224a690e1f440bb97c0e8aaed9202d9c8de2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13517",
    "kind": "arxiv",
    "version": 1
  }
}