Pith Number

pith:P3FYRDFG

pith:2000:P3FYRDFGXX3DIOV6SVOF3VNKZY

not attested not anchored not stored refs pending

Entanglement Manipulation and Concentration

R. T.Thew, W. J. Munro

arxiv:quant-ph/0012049 v1 · 2000-12-12 · 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{P3FYRDFGXX3DIOV6SVOF3VNKZY}

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	2026-07-04T16:23:05.606111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ecb888ca6bdf6343abe955c5dd5aace398e43cb50f5352857673981e45a5dd9

Aliases

arxiv: quant-ph/0012049 · arxiv_version: quant-ph/0012049v1 · doi: 10.48550/arxiv.quant-ph/0012049 · pith_short_12: P3FYRDFGXX3D · pith_short_16: P3FYRDFGXX3DIOV6 · pith_short_8: P3FYRDFG

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/P3FYRDFGXX3DIOV6SVOF3VNKZY \
  | 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: 7ecb888ca6bdf6343abe955c5dd5aace398e43cb50f5352857673981e45a5dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04a1afa1885d0c95826b3172c771ad4294f8bef27e95ec086cb7e1d34df13eba",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-12-12T11:11:27Z",
    "title_canon_sha256": "74379b2b483563f68e6545f6bb1f53741f6ce2d602248378c07bcd2c9294cbf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0012049",
    "kind": "arxiv",
    "version": 1
  }
}