Pith Number

pith:4UFOVZCE

pith:2021:4UFOVZCE2WYOGHGTWG3N3A5YXI

not attested not anchored not stored refs pending

The trace amplitude method and its application to the NLO QCD calculation

Cong-Feng Qiao, Zi-Qiang Chen

arxiv:2101.01106 v1 · 2021-01-04 · 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{4UFOVZCE2WYOGHGTWG3N3A5YXI}

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	2026-07-05T02:04:24.811148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50aeae444d5b0e31cd3b1b6dd83b8ba1fb0336957335be60af53a22230527a9

Aliases

arxiv: 2101.01106 · arxiv_version: 2101.01106v1 · doi: 10.48550/arxiv.2101.01106 · pith_short_12: 4UFOVZCE2WYO · pith_short_16: 4UFOVZCE2WYOGHGT · pith_short_8: 4UFOVZCE

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/4UFOVZCE2WYOGHGTWG3N3A5YXI \
  | 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: e50aeae444d5b0e31cd3b1b6dd83b8ba1fb0336957335be60af53a22230527a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f216ef0f3302f695232bc339fc27ea746aa04849a967e6f591ff69226161bf",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2021-01-04T17:23:26Z",
    "title_canon_sha256": "2ad18110af7a7f7c621546244863a86e8d1803f0aa51216a0a8034cb1fa90d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.01106",
    "kind": "arxiv",
    "version": 1
  }
}