Pith Number

pith:AJVNMRKF

pith:2021:AJVNMRKFHCWP5HDJ6ABIYOTKCH

not attested not anchored not stored refs pending

Q-system completion is a 3-functor

David Penneys, Quan Chen

arxiv:2106.12437 v1 · 2021-06-23 · math.QA · math.CT · 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{AJVNMRKFHCWP5HDJ6ABIYOTKCH}

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

1 paper in Pith

Orthonormal bases for higher Hilbert spaces

Receipt and verification

First computed	2026-07-05T02:51:55.403807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

026ad6454538acfe9c69f0028c3a6a11f0c6c7f254765470e05639aeafa5ba6a

Aliases

arxiv: 2106.12437 · arxiv_version: 2106.12437v1 · doi: 10.48550/arxiv.2106.12437 · pith_short_12: AJVNMRKFHCWP · pith_short_16: AJVNMRKFHCWP5HDJ · pith_short_8: AJVNMRKF

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/AJVNMRKFHCWP5HDJ6ABIYOTKCH \
  | 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: 026ad6454538acfe9c69f0028c3a6a11f0c6c7f254765470e05639aeafa5ba6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22f1825cc33ddcbba991d687c64f8758f43c1ba1c2726ce1ec9c633f0f1b1288",
    "cross_cats_sorted": [
      "math.CT",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2021-06-23T14:42:26Z",
    "title_canon_sha256": "ffe77c2c2f059160f1426499abd9188e54ff0e5c31558708036edd10ce357755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.12437",
    "kind": "arxiv",
    "version": 1
  }
}