Pith Number

pith:2T7NXZIW

pith:2018:2T7NXZIWONANESR7V2JL6R7Q6K

not attested not anchored not stored refs pending

Anticyclotomic $p$-adic $L$-functions for elliptic curves at some additive reduction primes

Ariel Pacetti, Daniel Kohen

arxiv:1801.01619 v2 · 2018-01-05 · 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{2T7NXZIWONANESR7V2JL6R7Q6K}

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	2026-05-18T00:05:05.357911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4fedbe5167340d24a3fae92bf47f0f29665283efab82384313767d06be9bb86

Aliases

arxiv: 1801.01619 · arxiv_version: 1801.01619v2 · doi: 10.48550/arxiv.1801.01619 · pith_short_12: 2T7NXZIWONAN · pith_short_16: 2T7NXZIWONANESR7 · pith_short_8: 2T7NXZIW

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/2T7NXZIWONANESR7V2JL6R7Q6K \
  | 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: d4fedbe5167340d24a3fae92bf47f0f29665283efab82384313767d06be9bb86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb7b0891b37d769b495c1b74c1448eb1a3a879e85babf3ee6882777dca64b710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-05T03:22:19Z",
    "title_canon_sha256": "c63b66f7693d02389467aa158a8ae2120bafb02b96811335265be00e0074d743"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.01619",
    "kind": "arxiv",
    "version": 2
  }
}