Pith Number

pith:ELT5RTAO

pith:2007:ELT5RTAO7TUGWY2RYSV7LWJWEX

not attested not anchored not stored refs pending

Quantum Secret Sharing with Multi-level Mutually (Un-)Biased Bases

Ching-Yu Huang, Feng-Li Lin, I-Ching Yu

arxiv:0711.3111 v4 · 2007-11-20 · quant-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELT5RTAO7TUGWY2RYSV7LWJWEX}

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	2026-05-18T01:36:36.346216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e7d8cc0efce86b6351c4abf5d93625da2f3558afa2aa7a809758517081af9c

Aliases

arxiv: 0711.3111 · arxiv_version: 0711.3111v4 · doi: 10.48550/arxiv.0711.3111 · pith_short_12: ELT5RTAO7TUG · pith_short_16: ELT5RTAO7TUGWY2R · pith_short_8: ELT5RTAO

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/ELT5RTAO7TUGWY2RYSV7LWJWEX \
  | 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: 22e7d8cc0efce86b6351c4abf5d93625da2f3558afa2aa7a809758517081af9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fea987da49b70b4d0c39d2513b98941c7e01fb665803a752df6696d6054c680",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-11-20T10:49:53Z",
    "title_canon_sha256": "fb3c338c3860119df1f83ad7f0d9c41d4551ed7657ea9daad2c1efb4db7a1ab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.3111",
    "kind": "arxiv",
    "version": 4
  }
}