Pith Number

pith:IYZ3OHSN

pith:2016:IYZ3OHSNKFPGIKBHXC2K46STZ3

not attested not anchored not stored refs pending

Note on von Neumann and R\'enyi entropies of a Graph

David Roberson, Jephian C.-H. Lin, Joshua Lockhart, Leslie Hogben, Michael Dairyko, Michael Young, Simone Severini

arxiv:1609.00420 v1 · 2016-09-01 · math.CO · 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{IYZ3OHSNKFPGIKBHXC2K46STZ3}

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	2026-05-18T01:06:23.916041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4633b71e4d515e642827b8b4ae7a53cee2cd2cc9fc2f78ea8c71eda552d8bee2

Aliases

arxiv: 1609.00420 · arxiv_version: 1609.00420v1 · doi: 10.48550/arxiv.1609.00420 · pith_short_12: IYZ3OHSNKFPG · pith_short_16: IYZ3OHSNKFPGIKBH · pith_short_8: IYZ3OHSN

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/IYZ3OHSNKFPGIKBHXC2K46STZ3 \
  | 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: 4633b71e4d515e642827b8b4ae7a53cee2cd2cc9fc2f78ea8c71eda552d8bee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bf625f1b19d007c932737190768537f1f563e5e9c43b3f090a65d19dc5ee7eb",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-01T22:57:52Z",
    "title_canon_sha256": "023766efa0d10c17aa1017ac0d50b0dc68acb1128dd734bbc9db04b36dcb0e84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.00420",
    "kind": "arxiv",
    "version": 1
  }
}