Pith Number

pith:D5FDSMEV

pith:2012:D5FDSMEVYSJIYLUTXLITAHQSEU

not attested not anchored not stored refs pending

Evidence of Long Range Order in the Riemann Zeta Function

Ronald Fisch

arxiv:1210.3618 v1 · 2012-10-14 · math.NT · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D5FDSMEVYSJIYLUTXLITAHQSEU}

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	2026-05-18T03:43:17.585852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f4a393095c4928c2e93bad1301e122529c0c2a8c32d5bb96ee5ac07891ec4d5

Aliases

arxiv: 1210.3618 · arxiv_version: 1210.3618v1 · doi: 10.48550/arxiv.1210.3618 · pith_short_12: D5FDSMEVYSJI · pith_short_16: D5FDSMEVYSJIYLUT · pith_short_8: D5FDSMEV

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/D5FDSMEVYSJIYLUTXLITAHQSEU \
  | 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: 1f4a393095c4928c2e93bad1301e122529c0c2a8c32d5bb96ee5ac07891ec4d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "802154338030c9b8203769d3ae9f1fc5a4937cdea66b6c8b574dead0ac5c31a4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-10-14T11:46:54Z",
    "title_canon_sha256": "676cb7b3a52817714dcaeadab183bc28a2338633b9a6d916e5a2d1771255e8ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3618",
    "kind": "arxiv",
    "version": 1
  }
}