Pith Number

pith:7FGMUQSH

pith:2009:7FGMUQSHMMCDRMYF3BR4BOKLCU

not attested not anchored not stored refs pending

Notes on the Zeros of Riemann's Zeta Function

Michael S. Milgram

arxiv:0911.1332 v3 · 2009-11-06 · math.GM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7FGMUQSHMMCDRMYF3BR4BOKLCU}

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	2026-05-18T01:36:07.611733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f94cca4247630438b305d863c0b94b152f4262275c7f4d1800b026a05a936d3e

Aliases

arxiv: 0911.1332 · arxiv_version: 0911.1332v3 · doi: 10.48550/arxiv.0911.1332 · pith_short_12: 7FGMUQSHMMCD · pith_short_16: 7FGMUQSHMMCDRMYF · pith_short_8: 7FGMUQSH

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/7FGMUQSHMMCDRMYF3BR4BOKLCU \
  | 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: f94cca4247630438b305d863c0b94b152f4262275c7f4d1800b026a05a936d3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "049957a8f8e2860b11ab0c8e3b681fc8ed42b2dc5896a5faf982c5c3e936805a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2009-11-06T19:50:54Z",
    "title_canon_sha256": "f83f4001020b81db709d0cec37d5f7ad9f1225b78b2e6fe7ad7220fa1f441703"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.1332",
    "kind": "arxiv",
    "version": 3
  }
}