Pith Number

pith:TZLILH6B

pith:2010:TZLILH6BKTJ5ZDAL5WMT2AUD7O

not attested not anchored not stored refs pending

Loop amplitudes in gauge theories: modern analytic approaches

Ruth Britto

arxiv:1012.4493 v2 · 2010-12-20 · hep-th · 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{TZLILH6BKTJ5ZDAL5WMT2AUD7O}

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	2026-05-18T02:04:19.718773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e56859fc154d3dc8c0bed993d0283fbba1d21779f3500ed37b7298f4bd581fa

Aliases

arxiv: 1012.4493 · arxiv_version: 1012.4493v2 · doi: 10.48550/arxiv.1012.4493 · pith_short_12: TZLILH6BKTJ5 · pith_short_16: TZLILH6BKTJ5ZDAL · pith_short_8: TZLILH6B

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/TZLILH6BKTJ5ZDAL5WMT2AUD7O \
  | 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: 9e56859fc154d3dc8c0bed993d0283fbba1d21779f3500ed37b7298f4bd581fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9206f25c54f55cfa8997d3bc832ad00742d8f1aa8b6809d426b6a84e924c96c",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-20T22:20:56Z",
    "title_canon_sha256": "3517bac2ef29a93480286c41f40f3a0572f5d3c036aba48abbbcf7b6b34ccf92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4493",
    "kind": "arxiv",
    "version": 2
  }
}