Pith Number

pith:FCIGHR4M

pith:2022:FCIGHR4M4XO75AAMAJZ57Q6YMR

not attested not anchored not stored refs pending

Arithmetic level raising for certain quaternionic unitary Shimura variety

Haining Wang

arxiv:2204.06976 v4 · 2022-04-14 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCIGHR4M4XO75AAMAJZ57Q6YMR}

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	2026-05-17T23:39:01.908789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

289063c78ce5ddfe800c0273dfc3d8646455a9a4eb6f04cd464ebd82c9efc444

Aliases

arxiv: 2204.06976 · arxiv_version: 2204.06976v4 · doi: 10.48550/arxiv.2204.06976 · pith_short_12: FCIGHR4M4XO7 · pith_short_16: FCIGHR4M4XO75AAM · pith_short_8: FCIGHR4M

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/FCIGHR4M4XO75AAMAJZ57Q6YMR \
  | 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: 289063c78ce5ddfe800c0273dfc3d8646455a9a4eb6f04cd464ebd82c9efc444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e1b326c621985859746462103a48cdb6f6e566f2740f6354b68a875c5e38c8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-04-14T14:02:22Z",
    "title_canon_sha256": "32c8210b9535ea4fb7e945ac59d6bfcb3be147fd1a1a1ae101a9d19abd91b722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.06976",
    "kind": "arxiv",
    "version": 4
  }
}