Pith Number

pith:S7DETNEL

pith:2024:S7DETNELQAXD26DQJVDX2274MB

not attested not anchored not stored refs pending

Twisted triple product root numbers and a cycle of Darmon-Rotger

David T.-B. G. Lilienfeldt

arxiv:2410.06063 v2 · 2024-10-08 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S7DETNELQAXD26DQJVDX2274MB}

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	2026-06-24T01:14:55.786779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c649b48b802e3d78704d477d6bfc6068d9a00942b7ac7f36a3eeeca2056b07

Aliases

arxiv: 2410.06063 · arxiv_version: 2410.06063v2 · doi: 10.48550/arxiv.2410.06063 · pith_short_12: S7DETNELQAXD · pith_short_16: S7DETNELQAXD26DQ · pith_short_8: S7DETNEL

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/S7DETNELQAXD26DQJVDX2274MB \
  | 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: 97c649b48b802e3d78704d477d6bfc6068d9a00942b7ac7f36a3eeeca2056b07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b75d16e173f08ebef6e16e40a5e4924c308bec7d7f0cbd4e00649d6f8763ee",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-10-08T14:10:14Z",
    "title_canon_sha256": "df5ecc19a24ad6443cdb2a063231946cc5720a26499c9fe1469e3d38b19d960c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.06063",
    "kind": "arxiv",
    "version": 2
  }
}