Pith Number

pith:KX7I5F2R

pith:2023:KX7I5F2RGB6QRZE5SJ3Z7AECSC

not attested not anchored not stored refs pending

The Harris-Venkatesh conjecture for derived Hecke operators III: local constants

Robin Zhang

arxiv:2301.00612 v3 · 2023-01-02 · 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{KX7I5F2RGB6QRZE5SJ3Z7AECSC}

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.

Cited by

1 paper in Pith

Towards the $p$-adic derived Hecke algebra for weight one forms

Receipt and verification

First computed	2026-07-05T08:26:42.142744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55fe8e9751307d08e49d92779f808290acf1f8a9de1f9dcb301d223280a89176

Aliases

arxiv: 2301.00612 · arxiv_version: 2301.00612v3 · doi: 10.48550/arxiv.2301.00612 · pith_short_12: KX7I5F2RGB6Q · pith_short_16: KX7I5F2RGB6QRZE5 · pith_short_8: KX7I5F2R

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/KX7I5F2RGB6QRZE5SJ3Z7AECSC \
  | 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: 55fe8e9751307d08e49d92779f808290acf1f8a9de1f9dcb301d223280a89176

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517cef51015221fe6dbc61faee07a5818d2813f8d5919046971c18f0b61fe497",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-01-02T11:54:25Z",
    "title_canon_sha256": "5f3584fcef3cde2d54a221410df8559e8dcd079f9335f6643e64fdac3ab2fc0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.00612",
    "kind": "arxiv",
    "version": 3
  }
}