Pith Number

pith:JAVHOSV4

pith:2026:JAVHOSV446ZYKGQVSWVFOWIX7M

not attested not anchored not stored refs pending

The Mass Gap Approach to QCD. II. The non-perturbative renormalization program for the massive gluon fields

G.G. Barnafoldi, V. Gogokhia

arxiv:2605.21547 v1 · 2026-05-20 · hep-ph · 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{JAVHOSV446ZYKGQVSWVFOWIX7M}

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	2026-05-22T00:02:28.153568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

482a774abce7b3851a1595aa575917fb35e2cead3bb50fc3ce434fd170ce3444

Aliases

arxiv: 2605.21547 · arxiv_version: 2605.21547v1 · doi: 10.48550/arxiv.2605.21547 · pith_short_12: JAVHOSV446ZY · pith_short_16: JAVHOSV446ZYKGQV · pith_short_8: JAVHOSV4

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/JAVHOSV446ZYKGQVSWVFOWIX7M \
  | 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: 482a774abce7b3851a1595aa575917fb35e2cead3bb50fc3ce434fd170ce3444

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45dbb0dd55f87b4677db4f096e59aea2ad9bcc8c9132726b90f4682e042eab17",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-05-20T10:15:59Z",
    "title_canon_sha256": "820654e71068c7ecc5d03e3055fc949af3b77108d128502bb9be7a7a7cda2784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21547",
    "kind": "arxiv",
    "version": 1
  }
}