Pith Number

pith:X6UXDAL7

pith:2015:X6UXDAL77SMYYZSJSKTT2M2LUG

not attested not anchored not stored refs pending

Sharp comparison theorems for the Klein--Gordon equation in $d$ dimensions

Petr Zorin, Richard L. Hall

arxiv:1506.01728 v2 · 2015-06-04 · math-ph · math.MP · 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{X6UXDAL77SMYYZSJSKTT2M2LUG}

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	2026-05-18T01:11:55.146653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfa971817ffc998c664992a73d334ba1ae461d4b03cc8438cc0789c8d47e040a

Aliases

arxiv: 1506.01728 · arxiv_version: 1506.01728v2 · doi: 10.48550/arxiv.1506.01728 · pith_short_12: X6UXDAL77SMY · pith_short_16: X6UXDAL77SMYYZSJ · pith_short_8: X6UXDAL7

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/X6UXDAL77SMYYZSJSKTT2M2LUG \
  | 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: bfa971817ffc998c664992a73d334ba1ae461d4b03cc8438cc0789c8d47e040a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319f9dac361710b29bc7ab202b6bf4372843b32dbc34293c81f4f351e78ef173",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-06-04T21:05:14Z",
    "title_canon_sha256": "32bfe2acf65cf2c4dfb80bf8f6fdf46765683580abd3e24b92031a24c9147cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.01728",
    "kind": "arxiv",
    "version": 2
  }
}