Pith Number

pith:XOZGXW3S

pith:2018:XOZGXW3STHQ6W64UB3D4JITWAU

not attested not anchored not stored refs pending

Potential automorphy over CM fields

Ana Caraiani, Bao V. Le Hung, David Helm, Frank Calegari, Jack A. Thorne, James Newton, Patrick B. Allen, Peter Scholze, Richard Taylor, Toby Gee

arxiv:1812.09999 v2 · 2018-12-25 · 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{XOZGXW3STHQ6W64UB3D4JITWAU}

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

On the generic part of the cohomology of non-compact unitary Shimura varieties

Receipt and verification

First computed	2026-07-05T04:32:08.707676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb26bdb7299e1eb7b940ec7c4a276053765b52707d476e16cdc77a3642d0059

Aliases

arxiv: 1812.09999 · arxiv_version: 1812.09999v2 · doi: 10.48550/arxiv.1812.09999 · pith_short_12: XOZGXW3STHQ6 · pith_short_16: XOZGXW3STHQ6W64U · pith_short_8: XOZGXW3S

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/XOZGXW3STHQ6W64UB3D4JITWAU \
  | 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: bbb26bdb7299e1eb7b940ec7c4a276053765b52707d476e16cdc77a3642d0059

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c90684971aeb541170a002f5dc49dfdf2be21b7a79a0f920de646c2de289a61",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-25T00:22:23Z",
    "title_canon_sha256": "d67204e71bfed04324fd340e47cb60aaa3548c49cc6d0082c992eb33abb9858b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.09999",
    "kind": "arxiv",
    "version": 2
  }
}