Pith Number

pith:PT6WO6XT

pith:2014:PT6WO6XTTO3NTKFDZWFNBFEAGY

not attested not anchored not stored refs pending

Shifted Multiple Dirichlet Series

Jeff Hoffstein, Min Lee

arxiv:1412.5917 v1 · 2014-12-18 · 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{PT6WO6XTTO3NTKFDZWFNBFEAGY}

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	2026-05-18T02:30:56.020023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cfd677af39bb6d9a8a3cd8ad09480361cc57d53276e929f7894bf3aa4cfa89a

Aliases

arxiv: 1412.5917 · arxiv_version: 1412.5917v1 · doi: 10.48550/arxiv.1412.5917 · pith_short_12: PT6WO6XTTO3N · pith_short_16: PT6WO6XTTO3NTKFD · pith_short_8: PT6WO6XT

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/PT6WO6XTTO3NTKFDZWFNBFEAGY \
  | 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: 7cfd677af39bb6d9a8a3cd8ad09480361cc57d53276e929f7894bf3aa4cfa89a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d3bb75c44b429beb246a268acc90c7105e3ad5d7b495fa791450b4f543708a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-18T16:09:31Z",
    "title_canon_sha256": "b6add3f85898b478843ae64799c8701b019c910f826772fdbf0db7da5473590a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5917",
    "kind": "arxiv",
    "version": 1
  }
}