Pith Number

pith:GIUTNXNP

pith:2024:GIUTNXNPMIQLJKLBCNTJF5L6ZG

not attested not anchored not stored refs pending

Equidistribution of Hecke Orbits on the Picard group of definite Shimura curves

Matias Alvarado, Patricio P\'erez-Pi\~na

arxiv:2411.16643 v1 · 2024-11-25 · 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{GIUTNXNPMIQLJKLBCNTJF5L6ZG}

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	2026-07-05T09:40:12.288888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322936ddaf6220b4a961136692f57ec9a688b5fd5e8d33ac931a40711cdfd85e

Aliases

arxiv: 2411.16643 · arxiv_version: 2411.16643v1 · doi: 10.48550/arxiv.2411.16643 · pith_short_12: GIUTNXNPMIQL · pith_short_16: GIUTNXNPMIQLJKLB · pith_short_8: GIUTNXNP

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/GIUTNXNPMIQLJKLBCNTJF5L6ZG \
  | 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: 322936ddaf6220b4a961136692f57ec9a688b5fd5e8d33ac931a40711cdfd85e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e44b6a83c87f75e72ebe5f244185fd98c606506758d2fb29236e1e009134384",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-25T18:26:47Z",
    "title_canon_sha256": "57532186559dce8a1c502703370749ee5e74c407f28952d82076a428c61242f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.16643",
    "kind": "arxiv",
    "version": 1
  }
}