Pith Number

pith:G7GBP6IK

pith:2016:G7GBP6IKQRVMGTR3RA2VQNFHWV

not attested not anchored not stored refs pending

Sums of Products of Riemann Zeta Tails

Michael E. Hoffman

arxiv:1602.03399 v1 · 2016-02-10 · 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{G7GBP6IKQRVMGTR3RA2VQNFHWV}

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	2026-05-18T01:03:06.187683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37cc17f90a846ac34e3b88355834a7b574465df77822dceea85123fe3ba02227

Aliases

arxiv: 1602.03399 · arxiv_version: 1602.03399v1 · doi: 10.48550/arxiv.1602.03399 · pith_short_12: G7GBP6IKQRVM · pith_short_16: G7GBP6IKQRVMGTR3 · pith_short_8: G7GBP6IK

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/G7GBP6IKQRVMGTR3RA2VQNFHWV \
  | 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: 37cc17f90a846ac34e3b88355834a7b574465df77822dceea85123fe3ba02227

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d25bc7345e7fd730c89044e6a5e9a8a4b0c97774a1a440319751410f5cf64688",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-10T15:09:02Z",
    "title_canon_sha256": "c5a7d560d679287d41fa9f5fd3762021072ee12b045044853fc52c4e781f2fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03399",
    "kind": "arxiv",
    "version": 1
  }
}