Pith Number

pith:KKT3NNLF

pith:2025:KKT3NNLFOAZIKOSLBQ6JLZQ27Y

not attested not anchored not stored refs pending

Approximation theorems for classifying stacks over number fields

Ajneet Dhillon

arxiv:2507.13900 v2 · 2025-07-18 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKT3NNLFOAZIKOSLBQ6JLZQ27Y}

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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

The \'{e}tale Brauer-Manin obstruction for classifying stacks

Receipt and verification

First computed	2026-07-03T00:16:50.149496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a7b6b5657032853a4b0c3c95e61afe0d4209654c77d86f792f1fbecb5f9047

Aliases

arxiv: 2507.13900 · arxiv_version: 2507.13900v2 · doi: 10.48550/arxiv.2507.13900 · pith_short_12: KKT3NNLFOAZI · pith_short_16: KKT3NNLFOAZIKOSL · pith_short_8: KKT3NNLF

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/KKT3NNLFOAZIKOSLBQ6JLZQ27Y \
  | 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: 52a7b6b5657032853a4b0c3c95e61afe0d4209654c77d86f792f1fbecb5f9047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a413beef895873d5898caf872ef1310369f0c2b7b63d2ca6535f49bca830a20",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-18T13:28:11Z",
    "title_canon_sha256": "1f8c58bb594487a6eebb79ffcbbdb5f7207064a0686a8d98d85b5eb26caeedbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13900",
    "kind": "arxiv",
    "version": 2
  }
}