Pith Number

pith:BCOQFGVA

pith:2023:BCOQFGVAMWOUUFRTVM2SBP337H

not attested not anchored not stored refs pending

An Euler system for the adjoint of a modular form

David Loeffler, Sarah Livia Zerbes

arxiv:2312.04665 v2 · 2023-12-07 · 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{BCOQFGVAMWOUUFRTVM2SBP337H}

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

An anticyclotomic Euler system of Hirzebruch--Zagier cycles I: Norm relations and $p$-adic interpolation

Receipt and verification

First computed	2026-07-05T10:32:24.150851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

089d029aa0659d4a1633ab3520bf7bf9d01316f0e3b723b2f3c8ff8a646481dd

Aliases

arxiv: 2312.04665 · arxiv_version: 2312.04665v2 · doi: 10.48550/arxiv.2312.04665 · pith_short_12: BCOQFGVAMWOU · pith_short_16: BCOQFGVAMWOUUFRT · pith_short_8: BCOQFGVA

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/BCOQFGVAMWOUUFRTVM2SBP337H \
  | 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: 089d029aa0659d4a1633ab3520bf7bf9d01316f0e3b723b2f3c8ff8a646481dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "246ebe00b52ae9e5c4bdc0c7c8ce8a0d3f6a201837659432be70cc1ca50beab0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-12-07T19:56:16Z",
    "title_canon_sha256": "5c4869d2b95cba3db1edecbd6d292f4ffcae54ed60c5d95e4fbc34af72a2d202"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.04665",
    "kind": "arxiv",
    "version": 2
  }
}