Pith Number

pith:KC72LJQE

pith:2013:KC72LJQENGFZ2OMY7X2QOY7OKB

not attested not anchored not stored refs pending

The Riemann Hypothesis for Symmetrised Combinations of Zeta Functions

Christopher G. Poulton, Ross C. McPhedran

arxiv:1308.5756 v2 · 2013-08-27 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KC72LJQENGFZ2OMY7X2QOY7OKB}

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	2026-05-18T02:44:06.912858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50bfa5a604698b9d3998fdf50763ee5051e5c78cd354f50930a5db7da3b0cabb

Aliases

arxiv: 1308.5756 · arxiv_version: 1308.5756v2 · doi: 10.48550/arxiv.1308.5756 · pith_short_12: KC72LJQENGFZ · pith_short_16: KC72LJQENGFZ2OMY · pith_short_8: KC72LJQE

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/KC72LJQENGFZ2OMY7X2QOY7OKB \
  | 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: 50bfa5a604698b9d3998fdf50763ee5051e5c78cd354f50930a5db7da3b0cabb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "895fd91c0ce3b63976a2ffa4afd9e064ff94b00ef43878ac6dffdede53148bc1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-27T05:23:25Z",
    "title_canon_sha256": "d75c8cba6ed97498d157c4ab62e474e3554e7b3211d07713a53f92be93a62e84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5756",
    "kind": "arxiv",
    "version": 2
  }
}