Pith Number

pith:74D23CHS

pith:2014:74D23CHS3EWP4SZOC5STLND3WQ

not attested not anchored not stored refs pending

Size of product of a number and its multiplicative inverse, Moments of L-functions and Exponential Sums

Tsz Ho Chan

arxiv:1412.8069 v1 · 2014-12-27 · 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{74D23CHS3EWP4SZOC5STLND3WQ}

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	2026-05-18T02:30:24.269052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff07ad88f2d92cfe4b2e176535b47bb433da4c0d7c49d55dfd9c5803fcd17f76

Aliases

arxiv: 1412.8069 · arxiv_version: 1412.8069v1 · doi: 10.48550/arxiv.1412.8069 · pith_short_12: 74D23CHS3EWP · pith_short_16: 74D23CHS3EWP4SZO · pith_short_8: 74D23CHS

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/74D23CHS3EWP4SZOC5STLND3WQ \
  | 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: ff07ad88f2d92cfe4b2e176535b47bb433da4c0d7c49d55dfd9c5803fcd17f76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b682257c30019078b8b2ced313c1ecda54e152649171177addfd5d6e367d1c49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-12-27T17:02:49Z",
    "title_canon_sha256": "7433a7488a0ae6ccf9dbaa8b538b024afc72be3dba940edc5e24589edfc0de72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.8069",
    "kind": "arxiv",
    "version": 1
  }
}