Pith Number

pith:IBJ5MMUO

pith:2019:IBJ5MMUO5JGW2SPPQLJX2GIYML

not attested not anchored not stored refs pending

Thermal state entanglement entropy on a quantum graph

Alberto D. Verga, Ricardo Gabriel Elias

arxiv:1909.00449 v1 · 2019-09-01 · 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{IBJ5MMUO5JGW2SPPQLJX2GIYML}

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	2026-07-05T00:28:52.896123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4053d6328eea4d6d49ef82d37d191862e5602bbb4d3ec5202cf84f82e9655e38

Aliases

arxiv: 1909.00449 · arxiv_version: 1909.00449v1 · doi: 10.48550/arxiv.1909.00449 · pith_short_12: IBJ5MMUO5JGW · pith_short_16: IBJ5MMUO5JGW2SPP · pith_short_8: IBJ5MMUO

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/IBJ5MMUO5JGW2SPPQLJX2GIYML \
  | 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: 4053d6328eea4d6d49ef82d37d191862e5602bbb4d3ec5202cf84f82e9655e38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34360f4e1629509081cba3fb2b5a37daa7d3521f08976e0681f39039b8611704",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-09-01T18:59:11Z",
    "title_canon_sha256": "cdd9c22042c0d2b20b0375d33644a23066a740efee683f44033c31373d992acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.00449",
    "kind": "arxiv",
    "version": 1
  }
}