Pith Number

pith:FVRHPAHW

pith:2011:FVRHPAHWS6ZLFRMSPEQY6SAO2G

not attested not anchored not stored refs pending

Local extrema of entropy functions under tensor products

Aidan Roy, Gilad Gour, Shmuel Friedland

arxiv:1105.5380 v1 · 2011-05-26 · math-ph · math.MP · 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{FVRHPAHWS6ZLFRMSPEQY6SAO2G}

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	2026-05-18T03:15:57.951919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d627780f697b2b2c59279218f480ed189fb3ea68dcb077778bd8a840884fe08

Aliases

arxiv: 1105.5380 · arxiv_version: 1105.5380v1 · doi: 10.48550/arxiv.1105.5380 · pith_short_12: FVRHPAHWS6ZL · pith_short_16: FVRHPAHWS6ZLFRMS · pith_short_8: FVRHPAHW

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/FVRHPAHWS6ZLFRMSPEQY6SAO2G \
  | 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: 2d627780f697b2b2c59279218f480ed189fb3ea68dcb077778bd8a840884fe08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e5d2ed43a92555fcf3bea5cca087efb3a519079eab0a3d897a59def1d779a4b",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-26T19:30:26Z",
    "title_canon_sha256": "14dbf47375c85ad33d284f865f4f574759d98c56d647501efd1fc39108daabca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5380",
    "kind": "arxiv",
    "version": 1
  }
}