Pith Number

pith:PZ2QXVQ6

pith:2020:PZ2QXVQ6RXEHFIGSTCTRQVGVV4

not attested not anchored not stored refs pending

A new and complete proof of the Landau condition for pinch singularities of Feynman graphs and other integrals

John Collins

arxiv:2007.04085 v1 · 2020-07-08 · 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{PZ2QXVQ6RXEHFIGSTCTRQVGVV4}

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

Landau's Leviathans

Receipt and verification

First computed	2026-07-05T01:17:20.772685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e750bd61e8dc872a0d298a71854d5af23d9524035f92a6a67e6b6ca52d8cbb9

Aliases

arxiv: 2007.04085 · arxiv_version: 2007.04085v1 · doi: 10.48550/arxiv.2007.04085 · pith_short_12: PZ2QXVQ6RXEH · pith_short_16: PZ2QXVQ6RXEHFIGS · pith_short_8: PZ2QXVQ6

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/PZ2QXVQ6RXEHFIGSTCTRQVGVV4 \
  | 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: 7e750bd61e8dc872a0d298a71854d5af23d9524035f92a6a67e6b6ca52d8cbb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6807a48eb504acbe24f91e0a08ad11a66a20042c31591d357a99892e6d65266",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-07-08T17:48:51Z",
    "title_canon_sha256": "f6bb89bf34f7f7f8356184216efd7facbcc5938d010daa4fa2c6ce77e7469cc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.04085",
    "kind": "arxiv",
    "version": 1
  }
}