Pith Number

pith:IEDHIYVZ

pith:2008:IEDHIYVZYYMW5PF7WLGFPVZ34J

not attested not anchored not stored refs pending

Completeness of dagger-categories and the complex numbers

Jamie Vicary

arxiv:0807.2927 v4 · 2008-07-18 · math.CT · math-ph · math.MP · 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{IEDHIYVZYYMW5PF7WLGFPVZ34J}

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	2026-05-18T03:45:10.977019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41067462b9c6196ebcbfb2cc57d73be26bb221a16d0748cf1b60888efa28c513

Aliases

arxiv: 0807.2927 · arxiv_version: 0807.2927v4 · doi: 10.48550/arxiv.0807.2927 · pith_short_12: IEDHIYVZYYMW · pith_short_16: IEDHIYVZYYMW5PF7 · pith_short_8: IEDHIYVZ

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/IEDHIYVZYYMW5PF7WLGFPVZ34J \
  | 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: 41067462b9c6196ebcbfb2cc57d73be26bb221a16d0748cf1b60888efa28c513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7ff3894fa4ddf9e165e87615153fa028fcf271923e9c62851d3920afa8bf1b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2008-07-18T12:37:44Z",
    "title_canon_sha256": "10f2f750634a5e30452ef3d88e943812488f5392a345a556d30b28a390f58339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2927",
    "kind": "arxiv",
    "version": 4
  }
}