Pith Number

pith:XZQTY7BU

pith:2009:XZQTY7BU7L6GPD3CDBS4N4UAPY

not attested not anchored not stored refs pending

A Brief note on the Riemann hypothesis

Kunihiko Uehara, Minoru Fujimoto

arxiv:0906.1099 v2 · 2009-06-05 · 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{XZQTY7BU7L6GPD3CDBS4N4UAPY}

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	2026-05-18T03:37:42.254987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be613c7c34fafc678f621865c6f2807e29106e7793635f2b4a3e950a8e6ee28a

Aliases

arxiv: 0906.1099 · arxiv_version: 0906.1099v2 · doi: 10.48550/arxiv.0906.1099 · pith_short_12: XZQTY7BU7L6G · pith_short_16: XZQTY7BU7L6GPD3C · pith_short_8: XZQTY7BU

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/XZQTY7BU7L6GPD3CDBS4N4UAPY \
  | 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: be613c7c34fafc678f621865c6f2807e29106e7793635f2b4a3e950a8e6ee28a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a915b2cb47ba230df54757186e125951aef1fb54cdf5c1ff392ba1d3933037c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2009-06-05T11:51:51Z",
    "title_canon_sha256": "0b4855f4c007547767658938662673b3a09df016e8c0e1fcec760ee29b023d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1099",
    "kind": "arxiv",
    "version": 2
  }
}