Pith Number

pith:UHRKFIFC

pith:2006:UHRKFIFCGCMGNNK6WTFNYPOVCK

not attested not anchored not stored refs pending

On the Consistency of the Ladder Approximation and the Rainbow Approximation of Dyson-Schwinger Equation of QCD

Lei Chang, Yu-Xin Liu

arxiv:hep-ph/0610176 v1 · 2006-10-14 · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHRKFIFCGCMGNNK6WTFNYPOVCK}

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	2026-05-18T02:36:13.442194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e2a2a0a2309866b55eb4cadc3dd512b89bcd06cc917c32b3be3afba1f62eb7

Aliases

arxiv: hep-ph/0610176 · arxiv_version: hep-ph/0610176v1 · doi: 10.48550/arxiv.hep-ph/0610176 · pith_short_12: UHRKFIFCGCMG · pith_short_16: UHRKFIFCGCMGNNK6 · pith_short_8: UHRKFIFC

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/UHRKFIFCGCMGNNK6WTFNYPOVCK \
  | 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: a1e2a2a0a2309866b55eb4cadc3dd512b89bcd06cc917c32b3be3afba1f62eb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5b87d6aaff22a450dcb9b773081b426905c9aae41cedb109c1bcaa21a8d04ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-10-14T13:56:51Z",
    "title_canon_sha256": "9ff80ec0c4ea6e67b10c76ab9fb35e9279083dfa2e0817332b7cd29bef89bf2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0610176",
    "kind": "arxiv",
    "version": 1
  }
}