Pith Number

pith:C3UPF233

pith:2011:C3UPF233DLRRCCDRG2KS3WI7UD

not attested not anchored not stored refs pending

Quantum Functions

Andre Kornell

arxiv:1101.1694 v3 · 2011-01-10 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3UPF233DLRRCCDRG2KS3WI7UD}

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.

Cited by

2 papers in Pith

Monoidal Quantaloids

Quantum graphs of homomorphisms

Receipt and verification

First computed	2026-05-18T02:29:44.450441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e8f2eb7b1ae311087136952dd91fa0c471bd8634bc711d0669c0b609960f6c

Aliases

arxiv: 1101.1694 · arxiv_version: 1101.1694v3 · doi: 10.48550/arxiv.1101.1694 · pith_short_12: C3UPF233DLRR · pith_short_16: C3UPF233DLRRCCDR · pith_short_8: C3UPF233

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/C3UPF233DLRRCCDRG2KS3WI7UD \
  | 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: 16e8f2eb7b1ae311087136952dd91fa0c471bd8634bc711d0669c0b609960f6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e3699f2783e1925162a7b001d0ceb816afc4c00575db540df24fbea3d00cfd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-01-10T01:06:32Z",
    "title_canon_sha256": "7d4b5318238c1b71cc9d7e830899094c5d6b105af0a953eaf92b8dc5b562895c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1694",
    "kind": "arxiv",
    "version": 3
  }
}