Pith Number

pith:ESXL64SC

pith:2012:ESXL64SCD7637ZCWYGFZ2PQJ6L

not attested not anchored not stored refs pending

A canonical system of differential equations arising from the Riemann zeta-function

Masatoshi Suzuki

arxiv:1204.1827 v2 · 2012-04-09 · math.NT · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ESXL64SCD7637ZCWYGFZ2PQJ6L}

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	2026-05-18T01:04:01.402181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24aebf72421ffdbfe456c18b9d3e09f2c1cd95435dba532378df2d3a0e6699ac

Aliases

arxiv: 1204.1827 · arxiv_version: 1204.1827v2 · doi: 10.48550/arxiv.1204.1827 · pith_short_12: ESXL64SCD763 · pith_short_16: ESXL64SCD7637ZCW · pith_short_8: ESXL64SC

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/ESXL64SCD7637ZCWYGFZ2PQJ6L \
  | 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: 24aebf72421ffdbfe456c18b9d3e09f2c1cd95435dba532378df2d3a0e6699ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e74cad42c658e0eea1ae1f35ce22431685648af625eecfe28e4a185a2986c93d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-09T08:30:44Z",
    "title_canon_sha256": "793c6971675cefb1c09d2c6bc7dac18276b39951ef0174aaed345d55428ced78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1827",
    "kind": "arxiv",
    "version": 2
  }
}