Pith Number

pith:UL5DPQDO

pith:2013:UL5DPQDORP6CRPBBWOBT5IMQFG

not attested not anchored not stored refs pending

The number of product vectors and their partial conjugates in a pair of spaces

Joohan Na

arxiv:1309.4177 v2 · 2013-09-17 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL5DPQDORP6CRPBBWOBT5IMQFG}

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	2026-05-18T03:12:32.278106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2fa37c06e8bfc28bc21b3833ea19029a7e9f748241267b8b2d27242573dce62

Aliases

arxiv: 1309.4177 · arxiv_version: 1309.4177v2 · doi: 10.48550/arxiv.1309.4177 · pith_short_12: UL5DPQDORP6C · pith_short_16: UL5DPQDORP6CRPBB · pith_short_8: UL5DPQDO

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/UL5DPQDORP6CRPBBWOBT5IMQFG \
  | 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: a2fa37c06e8bfc28bc21b3833ea19029a7e9f748241267b8b2d27242573dce62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e2a4b1d26e1845d3945ea3379d0e09a3157fde3bdbc4a20a56b2baf1c1ce9a9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-09-17T04:15:57Z",
    "title_canon_sha256": "a7bdd72204d0bc5126e4de7e9dd6162b403afd95af0c393869b8a53e5f050d39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4177",
    "kind": "arxiv",
    "version": 2
  }
}