Pith Number

pith:3PFY43K7

pith:2015:3PFY43K7HTCLEGMLYLYMMRH4B5

not attested not anchored not stored refs pending

$\mathcal{L}$-invariants and local-global compatibility for the group $\mathrm{GL}_2/F$

Yiwen Ding

arxiv:1501.06901 v3 · 2015-01-27 · 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{3PFY43K7HTCLEGMLYLYMMRH4B5}

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	2026-05-18T01:20:26.296022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbcb8e6d5f3cc4b2198bc2f0c644fc0f5de597d489c9b82f28ab0dffc844810b

Aliases

arxiv: 1501.06901 · arxiv_version: 1501.06901v3 · doi: 10.48550/arxiv.1501.06901 · pith_short_12: 3PFY43K7HTCL · pith_short_16: 3PFY43K7HTCLEGML · pith_short_8: 3PFY43K7

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/3PFY43K7HTCLEGMLYLYMMRH4B5 \
  | 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: dbcb8e6d5f3cc4b2198bc2f0c644fc0f5de597d489c9b82f28ab0dffc844810b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b3b1e2adab32c151053002b204849f1c62d9aa84adaa007d6c7e84239a9d3dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-27T20:49:49Z",
    "title_canon_sha256": "9103dfe73ed447163b09c76056b2d461c5803955382398dad6e874be3d9cfad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06901",
    "kind": "arxiv",
    "version": 3
  }
}