Pith Number

pith:AVDXSVT3

pith:2016:AVDXSVT3GL45OHF7D7B4HTZ7MZ

not attested not anchored not stored refs pending

Root numbers and parity of local Iwasawa invariants

Chandrakant Aribam, Sudhanshu Shekhar, Suman Ahmed

arxiv:1608.08078 v2 · 2016-08-29 · 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{AVDXSVT3GL45OHF7D7B4HTZ7MZ}

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	2026-05-17T23:44:43.649032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054779567b32f9d71cbf1fc3c3cf3f664975fd549de6dd3e6b614c5b5e839fe5

Aliases

arxiv: 1608.08078 · arxiv_version: 1608.08078v2 · doi: 10.48550/arxiv.1608.08078 · pith_short_12: AVDXSVT3GL45 · pith_short_16: AVDXSVT3GL45OHF7 · pith_short_8: AVDXSVT3

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/AVDXSVT3GL45OHF7D7B4HTZ7MZ \
  | 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: 054779567b32f9d71cbf1fc3c3cf3f664975fd549de6dd3e6b614c5b5e839fe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d57ff329552e273cf104b4f02f6e3ca5d77f3d4fa39be85387b55a1363bab001",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-08-29T14:41:40Z",
    "title_canon_sha256": "1919924d9113f29cf5b14a389cf5eeade39f8e5d21ae308c6c5ef62d214ef507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.08078",
    "kind": "arxiv",
    "version": 2
  }
}