Pith Number

pith:CR3XWBLC

pith:2015:CR3XWBLC4RLTVUADL3WPNYNPHB

not attested not anchored not stored refs pending

State Ensembles and Quantum Entropy

Subhash Kak

arxiv:1509.03220 v1 · 2015-08-31 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CR3XWBLC4RLTVUADL3WPNYNPHB}

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	2026-05-18T01:15:14.984298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14777b0562e4573ad0035eecf6e1af38564ecbe9bcc811a74a16b6a99a88b411

Aliases

arxiv: 1509.03220 · arxiv_version: 1509.03220v1 · doi: 10.48550/arxiv.1509.03220 · pith_short_12: CR3XWBLC4RLT · pith_short_16: CR3XWBLC4RLTVUAD · pith_short_8: CR3XWBLC

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/CR3XWBLC4RLTVUADL3WPNYNPHB \
  | 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: 14777b0562e4573ad0035eecf6e1af38564ecbe9bcc811a74a16b6a99a88b411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ac700b8e4c59593474b79c548dc70274b1a42684cd863ee8dcbe6948a2869ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-08-31T19:09:39Z",
    "title_canon_sha256": "1abf4b0f3e54c31882070d5d8a0e31368b161b11ee65dea3c11db0f4cba82cb5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03220",
    "kind": "arxiv",
    "version": 1
  }
}