Pith Number

pith:HPXKDCKI

pith:2018:HPXKDCKIY5MZ2HDB7C3WIO5XF3

not attested not anchored not stored refs pending

Sum Rules for Functions of the Riemann Zeta Type

R. C. McPhedran

arxiv:1801.07415 v2 · 2018-01-23 · 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{HPXKDCKIY5MZ2HDB7C3WIO5XF3}

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	2026-05-18T00:23:04.860832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3beea18948c7599d1c61f8b7643bb72ec4ad2357c2e7bc1e14df3abb4da59a6e

Aliases

arxiv: 1801.07415 · arxiv_version: 1801.07415v2 · doi: 10.48550/arxiv.1801.07415 · pith_short_12: HPXKDCKIY5MZ · pith_short_16: HPXKDCKIY5MZ2HDB · pith_short_8: HPXKDCKI

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/HPXKDCKIY5MZ2HDB7C3WIO5XF3 \
  | 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: 3beea18948c7599d1c61f8b7643bb72ec4ad2357c2e7bc1e14df3abb4da59a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c739a52d103edb5ab441ccf2fa68ab1ebb7b3bc04f0daacfea97d5f410158f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-23T07:22:53Z",
    "title_canon_sha256": "48969bd75a4a9aef3288a3db9d593a9fb87f67a292d821582f954e08eddb3ff5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.07415",
    "kind": "arxiv",
    "version": 2
  }
}