Pith Number

pith:DSYOUIK7

pith:2024:DSYOUIK7ZFXSEOTUCZ2M7XRXBF

not attested not anchored not stored refs pending

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{SL}_n(\mathbb{Z})$ and $\operatorname{SAut}(F_n)$

Piotr Mizerka

arxiv:2404.10287 v3 · 2024-04-16 · math.GR

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\usepackage{pith}
\pithnumber{DSYOUIK7ZFXSEOTUCZ2M7XRXBF}

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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

1 paper in Pith

Inducing spectral gaps for the cohomological Laplacians of $\operatorname{Sp}_{2n}(\mathbb{Z})$

Receipt and verification

First computed	2026-07-05T10:52:54.255354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb0ea215fc96f223a741674cfde37095b9cbb34acadf6e72790606aae01c7ee

Aliases

arxiv: 2404.10287 · arxiv_version: 2404.10287v3 · doi: 10.48550/arxiv.2404.10287 · pith_short_12: DSYOUIK7ZFXS · pith_short_16: DSYOUIK7ZFXSEOTU · pith_short_8: DSYOUIK7

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/DSYOUIK7ZFXSEOTUCZ2M7XRXBF \
  | 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: 1cb0ea215fc96f223a741674cfde37095b9cbb34acadf6e72790606aae01c7ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8a04f58f75f151555b1463cf6cec5a536008db616895e7dffb9ee7c793348fc",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-04-16T05:20:53Z",
    "title_canon_sha256": "5dcdae34e937e6742fc40c082d9df28bd6fd845a37e6f6adb51f885340c604c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.10287",
    "kind": "arxiv",
    "version": 3
  }
}