Pith Number

pith:WTTE7ZV2

pith:2013:WTTE7ZV2BAXBDCNIP62TGZEN27

not attested not anchored not stored refs pending

Area law for random graph states

Benoit Collins, Ion Nechita, Karol Zyczkowski

arxiv:1302.0709 v2 · 2013-02-04 · math-ph · math.MP · math.PR · 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{WTTE7ZV2BAXBDCNIP62TGZEN27}

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	2026-05-17T23:52:44.900934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4e64fe6ba082e1189a87fb533648dd7efc34229ea0e20e8e7356d7af1db1c77

Aliases

arxiv: 1302.0709 · arxiv_version: 1302.0709v2 · doi: 10.48550/arxiv.1302.0709 · pith_short_12: WTTE7ZV2BAXB · pith_short_16: WTTE7ZV2BAXBDCNI · pith_short_8: WTTE7ZV2

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/WTTE7ZV2BAXBDCNIP62TGZEN27 \
  | 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: b4e64fe6ba082e1189a87fb533648dd7efc34229ea0e20e8e7356d7af1db1c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68f3155ce6d204b1ac757f891c5d1bde921562b533b35904afeed0bd5719ffbc",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-02-04T14:51:59Z",
    "title_canon_sha256": "c814c819584922321212837db581b79dd658ddd294c76d6a3c177365f77373cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0709",
    "kind": "arxiv",
    "version": 2
  }
}