Pith Number

pith:4EVPPFIR

pith:2020:4EVPPFIRSUJBKVDGGZ5KXWPZIK

not attested not anchored not stored refs pending

Manifestly Causal Loop-Tree Duality

Andrea Pelloni, Ben Ruijl, Dario Kermanschah, Valentin Hirschi, Zeno Capatti

arxiv:2009.05509 v2 · 2020-09-11 · 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{4EVPPFIRSUJBKVDGGZ5KXWPZIK}

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.

Cited by

1 paper in Pith

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

Receipt and verification

First computed	2026-07-05T01:37:56.491696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e12af795119512155466367aabd9f9428f84a744024008b9d60c84189afe813f

Aliases

arxiv: 2009.05509 · arxiv_version: 2009.05509v2 · doi: 10.48550/arxiv.2009.05509 · pith_short_12: 4EVPPFIRSUJB · pith_short_16: 4EVPPFIRSUJBKVDG · pith_short_8: 4EVPPFIR

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/4EVPPFIRSUJBKVDGGZ5KXWPZIK \
  | 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: e12af795119512155466367aabd9f9428f84a744024008b9d60c84189afe813f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ff0ac879a7ba41b17adc72900a589d9f5ce2ed8e83d0209d86480bc7466694",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-09-11T16:13:59Z",
    "title_canon_sha256": "2bfb7a8520f3ff441f659da5c3f061178a68b6c5521861edfdf031813570f9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05509",
    "kind": "arxiv",
    "version": 2
  }
}