Pith Number

pith:FPLTQMH5

pith:2015:FPLTQMH5RJBHD2PLLGCSFS5XZC

not attested not anchored not stored refs pending

The Lorentzian proper vertex amplitude: Classical analysis and quantum derivation

Antonia Zipfel, Jonathan Engle

arxiv:1502.04640 v2 · 2015-02-16 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPLTQMH5RJBHD2PLLGCSFS5XZC}

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

The problem of time: a path integral view

Receipt and verification

First computed	2026-05-18T01:04:45.948715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bd73830fd8a4271e9eb598522cbb7c8b1c2072d19abc6c2d18a9b4b594c4266

Aliases

arxiv: 1502.04640 · arxiv_version: 1502.04640v2 · doi: 10.48550/arxiv.1502.04640 · pith_short_12: FPLTQMH5RJBH · pith_short_16: FPLTQMH5RJBHD2PL · pith_short_8: FPLTQMH5

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/FPLTQMH5RJBHD2PLLGCSFS5XZC \
  | 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: 2bd73830fd8a4271e9eb598522cbb7c8b1c2072d19abc6c2d18a9b4b594c4266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18136cce0b99a90609339e12dc8d2ffd543b377f2f7ad36f365895c862d084b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-02-16T17:28:27Z",
    "title_canon_sha256": "34f32c350bce56e61cbdcc39ba1ab79195553ed625cc82b4045db3c235ba5427"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04640",
    "kind": "arxiv",
    "version": 2
  }
}