Pith Number

pith:LSOC3UDO

pith:2016:LSOC3UDOEKFFMSCDZ532CVJ7MG

not attested not anchored not stored refs pending

Twists of Hooley's $\Delta$-function over number fields

E. Sofos

arxiv:1609.09002 v2 · 2016-09-28 · 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{LSOC3UDOEKFFMSCDZ532CVJ7MG}

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	2026-05-18T00:20:17.733088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c9c2dd06e228a564843cf77a1553f61b4b4bf77b25785dd1d7ec66625baf5fe

Aliases

arxiv: 1609.09002 · arxiv_version: 1609.09002v2 · doi: 10.48550/arxiv.1609.09002 · pith_short_12: LSOC3UDOEKFF · pith_short_16: LSOC3UDOEKFFMSCD · pith_short_8: LSOC3UDO

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/LSOC3UDOEKFFMSCDZ532CVJ7MG \
  | 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: 5c9c2dd06e228a564843cf77a1553f61b4b4bf77b25785dd1d7ec66625baf5fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da2dc697182d39fe3b0dca8f40a50ea3f5d39a8ad7138afd7f2415311a6e781",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-28T16:46:12Z",
    "title_canon_sha256": "ddf73b0669a2f7d83ba5351a20919eedb4b12cedd2e14872cf78ffa1a52b3aae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09002",
    "kind": "arxiv",
    "version": 2
  }
}