Pith Number

pith:IHKUHCVM

pith:2010:IHKUHCVM2UJ5IZFWM4B3BE3GXB

not attested not anchored not stored refs pending

Noncommutativity as a colimit

Benno van den Berg, Chris Heunen

arxiv:1003.3618 v3 · 2010-03-18 · math.CT · math.OA · 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{IHKUHCVM2UJ5IZFWM4B3BE3GXB}

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	2026-05-18T03:39:16.972304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41d5438aacd513d464b66703b09366b8658b6b747336d34e2269f147af5e1359

Aliases

arxiv: 1003.3618 · arxiv_version: 1003.3618v3 · doi: 10.48550/arxiv.1003.3618 · pith_short_12: IHKUHCVM2UJ5 · pith_short_16: IHKUHCVM2UJ5IZFW · pith_short_8: IHKUHCVM

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/IHKUHCVM2UJ5IZFWM4B3BE3GXB \
  | 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: 41d5438aacd513d464b66703b09366b8658b6b747336d34e2269f147af5e1359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52b17768b7587e6d577625b5dd34ad5c7f107b87a0b9cddf953b8f5533d94069",
    "cross_cats_sorted": [
      "math.OA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-03-18T16:09:59Z",
    "title_canon_sha256": "7db6de27f07db54b670699344dbe7306f8ddcf41ec9aa7ec3e231bb456c6f61c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3618",
    "kind": "arxiv",
    "version": 3
  }
}