Pith Number

pith:5EWU2AJI

pith:2003:5EWU2AJIWF6UQQ3PIE5XHFYRPD

not attested not anchored not stored refs pending

Pseudomoments of the Riemann zeta-function and pseudomagic squares

Alex Gamburd, Brian Conrey

arxiv:math/0307213 v2 · 2003-07-16 · 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{5EWU2AJIWF6UQQ3PIE5XHFYRPD}

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	2026-07-04T14:37:36.004898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e92d4d0128b17d48436f413b73971178c6dc5e8e7d638f2fdef4a1a1594c8ed1

Aliases

arxiv: math/0307213 · arxiv_version: math/0307213v2 · doi: 10.48550/arxiv.math/0307213 · pith_short_12: 5EWU2AJIWF6U · pith_short_16: 5EWU2AJIWF6UQQ3P · pith_short_8: 5EWU2AJI

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/5EWU2AJIWF6UQQ3PIE5XHFYRPD \
  | 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: e92d4d0128b17d48436f413b73971178c6dc5e8e7d638f2fdef4a1a1594c8ed1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8cc442f5516d164a078323f6505314429faf66d66bd626c480b5d4afe1a57b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-07-16T01:30:21Z",
    "title_canon_sha256": "fd94dda4855327b5205a238bb259720207d02112307fc63785037c2f6794e7d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307213",
    "kind": "arxiv",
    "version": 2
  }
}