Pith Number

pith:YD22JMNZ

pith:2025:YD22JMNZXKYQLWTKQLU6WAGLMS

not attested not anchored not stored refs pending

Nearby cycles on the local model for the $\mathrm{GU}(n-1,1)$ PEL Shimura variety over a ramified prime

Joseph Muller

arxiv:2502.17851 v2 · 2025-02-25 · 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{YD22JMNZXKYQLWTKQLU6WAGLMS}

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	2026-05-21T01:04:13.043842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0f5a4b1b9bab105da6a82e9eb00cb64bb43eb3ff72cfe140f3641797d27854c

Aliases

arxiv: 2502.17851 · arxiv_version: 2502.17851v2 · doi: 10.48550/arxiv.2502.17851 · pith_short_12: YD22JMNZXKYQ · pith_short_16: YD22JMNZXKYQLWTK · pith_short_8: YD22JMNZ

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/YD22JMNZXKYQLWTKQLU6WAGLMS \
  | 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: c0f5a4b1b9bab105da6a82e9eb00cb64bb43eb3ff72cfe140f3641797d27854c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e147403770ed0558c7e4c7df17766cbea91c32af6bc243f8e16195fdca7f9e6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-02-25T04:55:16Z",
    "title_canon_sha256": "0af07f2c9a3e7d62f7e0e60fdbf37feaad8e02a6b094cda27e108cdbcd957b4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.17851",
    "kind": "arxiv",
    "version": 2
  }
}