Pith Number

pith:5RW5XEDQ

pith:2026:5RW5XEDQOZZJ6OOTM4XOYVL6S4

not attested not anchored not stored refs pending

Curved momentum space and finite Landau spectrum in $\kappa$-Minkowski spacetime

Adri\'an Huam\'an Vargas, Vladislav Kupriyanov

arxiv:2607.25833 v1 · 2026-07-28 · 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{5RW5XEDQOZZJ6OOTM4XOYVL6S4}

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	2026-07-29T01:26:05.564182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec6ddb907076729f39d3672eec557e970c232afd99e1bc5e1164a124442c17e7

Aliases

arxiv: 2607.25833 · arxiv_version: 2607.25833v1 · doi: 10.48550/arxiv.2607.25833 · pith_short_12: 5RW5XEDQOZZJ · pith_short_16: 5RW5XEDQOZZJ6OOT · pith_short_8: 5RW5XEDQ

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/5RW5XEDQOZZJ6OOTM4XOYVL6S4 \
  | 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: ec6ddb907076729f39d3672eec557e970c232afd99e1bc5e1164a124442c17e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c51d6cf541db27fb20843f124cc8909bf4a51cc00827aa2b8736ec37fef565f6",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-07-28T15:13:12Z",
    "title_canon_sha256": "5d53bb8aa11e8c3eedf7bcde7d7036dd4e02f42557bc70c5c39939eaed531f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25833",
    "kind": "arxiv",
    "version": 1
  }
}