Pith Number

pith:D3KGMEJO

pith:2026:D3KGMEJOKBDD6XCBAGYIEQBTO5

not attested not anchored not stored refs pending

Lorentz-Covariant Spectral Bounds from Thermal Quantum Field Theory: Retarded Green's Functions, Kubo Relations, and Holographic Constraints

Alisher Sanetullaev, Marhabo Beymamatova, Sarbinaz Bazarbaeva, Shokir Tursunov (New Uzbekistan University)

arxiv:2607.13482 v1 · 2026-07-15 · nucl-th · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D3KGMEJOKBDD6XCBAGYIEQBTO5}

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	2026-07-16T01:22:15.317275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ed466112e50463f5c4101b08240337773c1acd86eb58dfc17de297ffc67e9b1

Aliases

arxiv: 2607.13482 · arxiv_version: 2607.13482v1 · doi: 10.48550/arxiv.2607.13482 · pith_short_12: D3KGMEJOKBDD · pith_short_16: D3KGMEJOKBDD6XCB · pith_short_8: D3KGMEJO

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/D3KGMEJOKBDD6XCBAGYIEQBTO5 \
  | 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: 1ed466112e50463f5c4101b08240337773c1acd86eb58dfc17de297ffc67e9b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2afea08781213f0cf3e65e13d045a3a7f4e997d3d5cd090fc8035ed8ed93a56b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2026-07-15T06:21:41Z",
    "title_canon_sha256": "2b11382988306c2fbb31c5eba4b07433003fa4b68b6af44d847cdb519e275c2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.13482",
    "kind": "arxiv",
    "version": 1
  }
}