Pith Number

pith:AYZTA42W

pith:2017:AYZTA42WGL4744SABRILYSPOX5

not attested not anchored not stored refs pending

Exceptional zero formulae for anticyclotomic p-adic L-functions of elliptic curves in the ramified case

Maria Rosaria Pati, Matteo Longo

arxiv:1707.06019 v1 · 2017-07-19 · 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{AYZTA42WGL4744SABRILYSPOX5}

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	2026-05-18T00:39:57.787944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

063330735632f9fe72400c50bc49eebf542e6fff812bb92fb78fda5a68af4adc

Aliases

arxiv: 1707.06019 · arxiv_version: 1707.06019v1 · doi: 10.48550/arxiv.1707.06019 · pith_short_12: AYZTA42WGL47 · pith_short_16: AYZTA42WGL4744SA · pith_short_8: AYZTA42W

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/AYZTA42WGL4744SABRILYSPOX5 \
  | 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: 063330735632f9fe72400c50bc49eebf542e6fff812bb92fb78fda5a68af4adc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46fe98b30930a2b8102a8f943eb95593c6bf107bccc3d35173416f3db885edd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-07-19T11:08:43Z",
    "title_canon_sha256": "911d242e6faa906596267cc4a613ccba6663c18b4c9dce6e957fe65beeb802f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06019",
    "kind": "arxiv",
    "version": 1
  }
}