Pith Number

pith:XS625QUR

pith:2024:XS625QURYKAFBR6OENOVTD2WES

not attested not anchored not stored refs pending

Unstable cohomology of $\mathsf{GL}_{2n}(\mathbb{Z})$ and the odd commutative graph complex

Erik Panzer, Francis Brown, Simone Hu

arxiv:2406.12734 v1 · 2024-06-18 · math.AT · math.GT · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XS625QURYKAFBR6OENOVTD2WES}

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	2026-07-05T08:33:50.680576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcbdaec291c28050c7ce235d598f5624b94fb87bc13b22a871cb91aab2bba989

Aliases

arxiv: 2406.12734 · arxiv_version: 2406.12734v1 · doi: 10.48550/arxiv.2406.12734 · pith_short_12: XS625QURYKAF · pith_short_16: XS625QURYKAFBR6O · pith_short_8: XS625QUR

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/XS625QURYKAFBR6OENOVTD2WES \
  | 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: bcbdaec291c28050c7ce235d598f5624b94fb87bc13b22a871cb91aab2bba989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7caaf9b35f5e50ea6fe8697b9165835d4cb0f3974ae8ec88dcfb48055b8e31c3",
    "cross_cats_sorted": [
      "math.GT",
      "math.NT",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-06-18T15:57:28Z",
    "title_canon_sha256": "32667ccd720dc6f33469dde738650e29aeb7a21c298836b3426b4ecc3cfc7b91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.12734",
    "kind": "arxiv",
    "version": 1
  }
}