Pith Number

pith:3G6KMO5F

pith:2008:3G6KMO5FIEIVWYJ56AWZNIIKCP

not attested not anchored not stored refs pending

Phase boundaries in deterministic dense coding

Michael R. Beran, Scott M. Cohen

arxiv:0810.3608 v1 · 2008-10-20 · 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{3G6KMO5FIEIVWYJ56AWZNIIKCP}

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	2026-05-18T02:45:49.003082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9bca63ba541115b613df02d96a10a13d18c333cb407de4f2a48d412a9c43b44

Aliases

arxiv: 0810.3608 · arxiv_version: 0810.3608v1 · doi: 10.48550/arxiv.0810.3608 · pith_short_12: 3G6KMO5FIEIV · pith_short_16: 3G6KMO5FIEIVWYJ5 · pith_short_8: 3G6KMO5F

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/3G6KMO5FIEIVWYJ56AWZNIIKCP \
  | 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: d9bca63ba541115b613df02d96a10a13d18c333cb407de4f2a48d412a9c43b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5603a313da622362abdfb843446a766bf8671ce34c54ce5d539fb6739f91b390",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-10-20T17:05:29Z",
    "title_canon_sha256": "086ffa356ff755699909a14df7507c11ae8110b9ea99681e091142f9157d7b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.3608",
    "kind": "arxiv",
    "version": 1
  }
}