Pith Number

pith:BX2VPIPM

pith:2026:BX2VPIPMEDM2YHVH347DESPFTU

not attested not anchored not stored refs pending

Bogolyubov excitons as a microscopic origin of two-level systems

Andrey Grankin, Victor Galitski

arxiv:2607.07812 v1 · 2026-07-08 · cond-mat.supr-con

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BX2VPIPMEDM2YHVH347DESPFTU}

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	2026-07-10T00:19:01.755052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0df557a1ec20d9ac1ea7df3e3249e59d000b417ee41b942fd69fc694a0c683e3

Aliases

arxiv: 2607.07812 · arxiv_version: 2607.07812v1 · doi: 10.48550/arxiv.2607.07812 · pith_short_12: BX2VPIPMEDM2 · pith_short_16: BX2VPIPMEDM2YHVH · pith_short_8: BX2VPIPM

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/BX2VPIPMEDM2YHVH347DESPFTU \
  | 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: 0df557a1ec20d9ac1ea7df3e3249e59d000b417ee41b942fd69fc694a0c683e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c116aadc120ac41ab00659a22e12fda6edb633bff58d2f61732324fb1d2b340b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.supr-con",
    "submitted_at": "2026-07-08T18:01:03Z",
    "title_canon_sha256": "e40c1c4642cba15de0f469ee84c56914c688484606ae720c0e3133ebe867eca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07812",
    "kind": "arxiv",
    "version": 1
  }
}