Pith Number

pith:BAWHRHPU

pith:2025:BAWHRHPUXGVTBEBYV4IDKWXFPP

not attested not anchored not stored refs pending

Erasure cost of a quantum process: A thermodynamic meaning of the dynamical min-entropy

Dhanuja GS, Himanshu Badhani, Siddhartha Das, Swati Choudhary, Vishal Anand

arxiv:2506.05307 v5 · 2025-06-05 · quant-ph · math-ph · 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{BAWHRHPUXGVTBEBYV4IDKWXFPP}

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	2026-06-24T01:14:57.442489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

082c789df4b9ab309038af10355ae57bfb31510c0ff4c00f5beee3ac7ed82c48

Aliases

arxiv: 2506.05307 · arxiv_version: 2506.05307v5 · doi: 10.48550/arxiv.2506.05307 · pith_short_12: BAWHRHPUXGVT · pith_short_16: BAWHRHPUXGVTBEBY · pith_short_8: BAWHRHPU

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/BAWHRHPUXGVTBEBYV4IDKWXFPP \
  | 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: 082c789df4b9ab309038af10355ae57bfb31510c0ff4c00f5beee3ac7ed82c48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11be0b3ab002206eccf93407eac1eedd676e20c858ba855432a4a419a49475ee",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-06-05T17:53:17Z",
    "title_canon_sha256": "887115e26c9ac6388b3ec281e20b0dd0035d47469656ae437ef4fa339e290695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05307",
    "kind": "arxiv",
    "version": 5
  }
}