Pith Number

pith:PULXSSRU

pith:2011:PULXSSRUHYTLO3H2Z7DB43FJBR

not attested not anchored not stored refs pending

Short proofs of the Quantum Substate Theorem

Ashwin Nayak, Rahul Jain

arxiv:1103.6067 v2 · 2011-03-31 · quant-ph · cs.CC · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PULXSSRUHYTLO3H2Z7DB43FJBR}

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	2026-05-18T04:04:44.800003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d17794a343e26b76cfacfc61e6ca90c7b8cd7b666514a58b33f983257645727

Aliases

arxiv: 1103.6067 · arxiv_version: 1103.6067v2 · doi: 10.48550/arxiv.1103.6067 · pith_short_12: PULXSSRUHYTL · pith_short_16: PULXSSRUHYTLO3H2 · pith_short_8: PULXSSRU

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/PULXSSRUHYTLO3H2Z7DB43FJBR \
  | 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: 7d17794a343e26b76cfacfc61e6ca90c7b8cd7b666514a58b33f983257645727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00dc9e0178d668238d8f66b5f6fcab34d75251da7bf981258afac697103a3b0d",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-31T00:22:40Z",
    "title_canon_sha256": "cd00743699646357316aec0757b4000a786f018e77a3d6f9d6915a6899fca7b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6067",
    "kind": "arxiv",
    "version": 2
  }
}