Pith Number

pith:PUM2FZ6P

pith:2025:PUM2FZ6P5O66S5X5ZYT2HZJYLI

not attested not anchored not stored refs pending

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

Francesc Castella, \'Oscar Rivero, Ra\'ul Alonso

arxiv:2501.15336 v1 · 2025-01-25 · 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{PUM2FZ6P5O66S5X5ZYT2HZJYLI}

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	2026-07-05T10:05:27.596521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d19a2e7cfebbde976fdce27a3e5385a0d0a688773fcfcbcc68da89da6744d08

Aliases

arxiv: 2501.15336 · arxiv_version: 2501.15336v1 · doi: 10.48550/arxiv.2501.15336 · pith_short_12: PUM2FZ6P5O66 · pith_short_16: PUM2FZ6P5O66S5X5 · pith_short_8: PUM2FZ6P

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/PUM2FZ6P5O66S5X5ZYT2HZJYLI \
  | 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: 7d19a2e7cfebbde976fdce27a3e5385a0d0a688773fcfcbcc68da89da6744d08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e449a80a100ad207ac4bcbecb53354b07642fa9ff45026472335eae4ad72a40",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-01-25T22:28:28Z",
    "title_canon_sha256": "8cef0195adc7323016e778e89bdb5c68aafa01cd1e143dd55a88aab0079fa129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15336",
    "kind": "arxiv",
    "version": 1
  }
}