Pith Number

pith:7GK3LMDZ

pith:2005:7GK3LMDZS3JECRK7OMVAZFWCG7

not attested not anchored not stored refs pending

The Riemann zeros and the cyclic Renormalization Group

German Sierra

arxiv:math/0510572 v2 · 2005-10-26 · math.NT · cond-mat.supr-con · hep-th · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GK3LMDZS3JECRK7OMVAZFWCG7}

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	2026-05-18T04:28:37.158248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f995b5b07996d241455f732a0c96c237cf5f56df317e90c2eb3a9fac38c1226e

Aliases

arxiv: math/0510572 · arxiv_version: math/0510572v2 · doi: 10.48550/arxiv.math/0510572 · pith_short_12: 7GK3LMDZS3JE · pith_short_16: 7GK3LMDZS3JECRK7 · pith_short_8: 7GK3LMDZ

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/7GK3LMDZS3JECRK7OMVAZFWCG7 \
  | 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: f995b5b07996d241455f732a0c96c237cf5f56df317e90c2eb3a9fac38c1226e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38df359a9c62c8f23350e5b72b03c142a3372511d4459983e9936d1e7ecfbb73",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "hep-th",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-10-26T18:33:50Z",
    "title_canon_sha256": "e6c583313c635e7553c203d105b623c2e632019644ff058443dd983b742633cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510572",
    "kind": "arxiv",
    "version": 2
  }
}