Pith Number

pith:IA5LPCNX

pith:2007:IA5LPCNXV5X6VQKDKXXEYXGWZP

not attested not anchored not stored refs pending

Extreme values of zeta prime rho

Nathan Ng

arxiv:0706.1765 v1 · 2007-06-12 · 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{IA5LPCNXV5X6VQKDKXXEYXGWZP}

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	2026-05-18T02:58:12.641149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

403ab789b7af6feac14355ee4c5cd6cbd38ba0c51b0bed07268d61bd3e3e0f33

Aliases

arxiv: 0706.1765 · arxiv_version: 0706.1765v1 · doi: 10.48550/arxiv.0706.1765 · pith_short_12: IA5LPCNXV5X6 · pith_short_16: IA5LPCNXV5X6VQKD · pith_short_8: IA5LPCNX

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/IA5LPCNXV5X6VQKDKXXEYXGWZP \
  | 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: 403ab789b7af6feac14355ee4c5cd6cbd38ba0c51b0bed07268d61bd3e3e0f33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "057c74a37f409c0f6575061d832da926b897a48f406f2bad9935b13b3408083e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-06-12T18:45:18Z",
    "title_canon_sha256": "3be2b91febb04740d517347459406a391f45145d17ddf33f3996f8f3cb066d1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.1765",
    "kind": "arxiv",
    "version": 1
  }
}