Pith Number

pith:TMGLJA4S

pith:2003:TMGLJA4SNV7GWFNRE2WC3PFXLK

not attested not anchored not stored refs pending

The Minimum Distance Problem for Two-Way Entanglement Purification

Andris Ambainis, Daniel Gottesman

arxiv:quant-ph/0310097 v4 · 2003-10-14 · 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{TMGLJA4SNV7GWFNRE2WC3PFXLK}

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	2026-07-04T15:05:25.559101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b0cb483926d7e6b15b126ac2dbcb75ab7682eb25ebe51e023349ad4db02a019

Aliases

arxiv: quant-ph/0310097 · arxiv_version: quant-ph/0310097v4 · doi: 10.48550/arxiv.quant-ph/0310097 · pith_short_12: TMGLJA4SNV7G · pith_short_16: TMGLJA4SNV7GWFNR · pith_short_8: TMGLJA4S

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/TMGLJA4SNV7GWFNRE2WC3PFXLK \
  | 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: 9b0cb483926d7e6b15b126ac2dbcb75ab7682eb25ebe51e023349ad4db02a019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c95c3fe7d6cd851dae2a24ea54f92ac050392165f542c3a5394cc06c6155d524",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-10-14T21:30:38Z",
    "title_canon_sha256": "60e4d97a9b68641f6319ec8a86521589ea8642fbb309add957ec883dd3ab02a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0310097",
    "kind": "arxiv",
    "version": 4
  }
}