Pith Number

pith:Q46FOX5P

pith:2015:Q46FOX5PJN3VK5I4QHDFIOMNTY

not attested not anchored not stored refs pending

Theoretical foundations and applications of the Loop-Tree Duality in Quantum Field Theories

Sebastian Buchta

arxiv:1509.07167 v1 · 2015-09-23 · 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{Q46FOX5PJN3VK5I4QHDFIOMNTY}

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	2026-05-18T01:32:09.743154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

873c575faf4b7755751c81c654398d9e16f166b4b3ef6458f3f2925468db871a

Aliases

arxiv: 1509.07167 · arxiv_version: 1509.07167v1 · doi: 10.48550/arxiv.1509.07167 · pith_short_12: Q46FOX5PJN3V · pith_short_16: Q46FOX5PJN3VK5I4 · pith_short_8: Q46FOX5P

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/Q46FOX5PJN3VK5I4QHDFIOMNTY \
  | 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: 873c575faf4b7755751c81c654398d9e16f166b4b3ef6458f3f2925468db871a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e7a6508da1a2dd5cb22b07aca53542a83219f925b24ae04c00fcb989ef11ea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2015-09-23T22:05:19Z",
    "title_canon_sha256": "89fb5b381e2a628de1169951e89281a1701d1a704e050725724678d99a04db8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07167",
    "kind": "arxiv",
    "version": 1
  }
}