Pith Number

pith:TGFR3BMP

pith:2018:TGFR3BMPHMZGDVYTUY36CBUXJU

not attested not anchored not stored refs pending

Unitarity of loop diagrams for the ghost-like $1/(k^2-M_1^2)-1/(k^2-M_2^2)$ propagator

Philip D. Mannheim

arxiv:1801.03220 v1 · 2018-01-10 · 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{TGFR3BMPHMZGDVYTUY36CBUXJU}

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

2 papers in Pith

On Causality and Predictivity

Fractions and Fakeons in Quantum Field Theory

Receipt and verification

First computed	2026-05-18T00:07:35.329732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

998b1d858f3b3261d713a637e106974d0b2d9a1b450f1b517f0c9651e17b8a30

Aliases

arxiv: 1801.03220 · arxiv_version: 1801.03220v1 · doi: 10.48550/arxiv.1801.03220 · pith_short_12: TGFR3BMPHMZG · pith_short_16: TGFR3BMPHMZGDVYT · pith_short_8: TGFR3BMP

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/TGFR3BMPHMZGDVYTUY36CBUXJU \
  | 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: 998b1d858f3b3261d713a637e106974d0b2d9a1b450f1b517f0c9651e17b8a30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddc10e5513238b7f6ceb9f3608c34fe51025ce0506e3e9a33c8ccd7965a9474c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-01-10T02:36:54Z",
    "title_canon_sha256": "8e1edafc3a9f7b4fc93fcb256ab18b95734e2331e3a912521f33ff67becdd935"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.03220",
    "kind": "arxiv",
    "version": 1
  }
}