Pith Number

pith:HIVRVTK6

pith:1998:HIVRVTK6YE44DPSKBAXIVBOWNP

not attested not anchored not stored refs pending

Modular Groups of Quantum Fields in Thermal States

H.J. Borchers, J. Yngvason

arxiv:math-ph/9805013 v1 · 1998-05-15 · math-ph · 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{HIVRVTK6YE44DPSKBAXIVBOWNP}

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

Bounding relative entropy for non-unitary excitations in quantum field theory

Receipt and verification

First computed	2026-07-04T16:10:07.976379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a2b1acd5ec139c1be4a082e8a85d66bc94240c70605ff736ab76a25c993cd84

Aliases

arxiv: math-ph/9805013 · arxiv_version: math-ph/9805013v1 · doi: 10.48550/arxiv.math-ph/9805013 · pith_short_12: HIVRVTK6YE44 · pith_short_16: HIVRVTK6YE44DPSK · pith_short_8: HIVRVTK6

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/HIVRVTK6YE44DPSKBAXIVBOWNP \
  | 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: 3a2b1acd5ec139c1be4a082e8a85d66bc94240c70605ff736ab76a25c993cd84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62defc29900a0d9df89d3fa62e47111e32c678a59563a35beb2cf098695e3cea",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "1998-05-15T10:59:22Z",
    "title_canon_sha256": "33a60d6cee7e69d3da07b4dd20df4c34ca991e912cfc2133df99b316311a3beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/9805013",
    "kind": "arxiv",
    "version": 1
  }
}