Pith Number

pith:GHLTJPCY

pith:2026:GHLTJPCYIUBZRCI2HHWWJKYHIP

not attested not anchored not stored refs pending

A Quantitative Framework of Nonperturbative QCD from Topological Vacuum with Application to Parton Structures

Wei-Yang Liu

arxiv:2607.06060 v1 · 2026-07-07 · 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{GHLTJPCYIUBZRCI2HHWWJKYHIP}

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	2026-07-08T01:18:55.288501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d734bc58450398891a39ed64ab0743e9480719cb875cf7693da5053d79aed4

Aliases

arxiv: 2607.06060 · arxiv_version: 2607.06060v1 · doi: 10.48550/arxiv.2607.06060 · pith_short_12: GHLTJPCYIUBZ · pith_short_16: GHLTJPCYIUBZRCI2 · pith_short_8: GHLTJPCY

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/GHLTJPCYIUBZRCI2HHWWJKYHIP \
  | 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: 31d734bc58450398891a39ed64ab0743e9480719cb875cf7693da5053d79aed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae17008bfc74b9f03394768c4c944bf5be2979336d9254630a2a038e959cda5d",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-07-07T09:33:47Z",
    "title_canon_sha256": "99d1be0fc034391a1181e185f0895485b4dd5d6e8c75277e21a01cdbbe971892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06060",
    "kind": "arxiv",
    "version": 1
  }
}