Pith Number

pith:AIBSQ4C7

pith:1999:AIBSQ4C7RIK767DZWR7NUL4DEX

not attested not anchored not stored refs pending

Microlocal Analysis and Interacting Quantum Field Theories: Renormalization on Physical Backgrounds

Klaus Fredenhagen, Romeo Brunetti

arxiv:math-ph/9903028 v1 · 1999-03-12 · math-ph · gr-qc · hep-th · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AIBSQ4C7RIK767DZWR7NUL4DEX}

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

Measurements in stochastic gravity and thermal variance

Receipt and verification

First computed	2026-07-04T15:45:47.623343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

020328705f8a15ff7c79b47eda2f8325dd1904b85125b769e3b37f580796917e

Aliases

arxiv: math-ph/9903028 · arxiv_version: math-ph/9903028v1 · doi: 10.48550/arxiv.math-ph/9903028 · pith_short_12: AIBSQ4C7RIK7 · pith_short_16: AIBSQ4C7RIK767DZ · pith_short_8: AIBSQ4C7

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/AIBSQ4C7RIK767DZWR7NUL4DEX \
  | 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: 020328705f8a15ff7c79b47eda2f8325dd1904b85125b769e3b37f580796917e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b4b1350a7c0067c686907607b788cabd26570963288d2a0d6e8af84e5319e5",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1999-03-12T14:49:24Z",
    "title_canon_sha256": "ada92b1ad5cd7eec7bde3fc856a4d69e9fff6290531d2eeb567ad3e5a75ff19b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9903028",
    "kind": "arxiv",
    "version": 1
  }
}