Pith Number

pith:VMTQ5XKZ

pith:2020:VMTQ5XKZMMLL5C6AVRRCGSXLBL

not attested not anchored not stored refs pending

Variational approach to relative entropies (with application to QFT)

Stefan Hollands

arxiv:2009.05024 v3 · 2020-09-10 · quant-ph · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMTQ5XKZMMLL5C6AVRRCGSXLBL}

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.

Receipt and verification

First computed	2026-07-05T03:31:53.697570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab270edd596316be8bc0ac62234aeb0ac0001442b0f9a0d20751c2a616c6bcc3

Aliases

arxiv: 2009.05024 · arxiv_version: 2009.05024v3 · doi: 10.48550/arxiv.2009.05024 · pith_short_12: VMTQ5XKZMMLL · pith_short_16: VMTQ5XKZMMLL5C6A · pith_short_8: VMTQ5XKZ

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/VMTQ5XKZMMLL5C6AVRRCGSXLBL \
  | 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: ab270edd596316be8bc0ac62234aeb0ac0001442b0f9a0d20751c2a616c6bcc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "657061c7e597660ff346194b09080d71b2a2a92016ad67bc93282cffff0bf775",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2020-09-10T17:41:28Z",
    "title_canon_sha256": "21094a355ca29582233d6894ce276ddd2ae48402318e5d88f5dbbd03d9c0f968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.05024",
    "kind": "arxiv",
    "version": 3
  }
}