Pith Number

pith:KRYUBLTJ

pith:2011:KRYUBLTJ2B4ZRADGHAXZ7WFNEU

not attested not anchored not stored refs pending

The modification of the energy spectrum of charged particles by exotic open 4-smoothness via superstring theory

Jerzy Kr\'ol, Pawe{\l} Gusin, Torsten Asselmeyer-Maluga

arxiv:1109.1973 v2 · 2011-09-09 · hep-th · gr-qc · 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{KRYUBLTJ2B4ZRADGHAXZ7WFNEU}

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	2026-05-18T03:37:09.105552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

547140ae69d079988066382f9fd8ad2509943a150d58a3e49399d8a6fa7941ab

Aliases

arxiv: 1109.1973 · arxiv_version: 1109.1973v2 · doi: 10.48550/arxiv.1109.1973 · pith_short_12: KRYUBLTJ2B4Z · pith_short_16: KRYUBLTJ2B4ZRADG · pith_short_8: KRYUBLTJ

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/KRYUBLTJ2B4ZRADGHAXZ7WFNEU \
  | 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: 547140ae69d079988066382f9fd8ad2509943a150d58a3e49399d8a6fa7941ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c42e064806f4365af37fdd9286e2af0746542960549d9332d3bcf2565ec24db",
    "cross_cats_sorted": [
      "gr-qc",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-09-09T11:58:11Z",
    "title_canon_sha256": "d5b508e0b9a47babf43498a1c687fb40a5a313728272443073c0e840014c7af2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1973",
    "kind": "arxiv",
    "version": 2
  }
}