Pith Number

pith:YZNH37VF

pith:2011:YZNH37VFZ6UGDFICP5LUVOAGUW

not attested not anchored not stored refs pending

Additive versus abelian 2-representations of fiat 2-categories

Vanessa Miemietz, Volodymyr Mazorchuk

arxiv:1112.4949 v1 · 2011-12-21 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZNH37VFZ6UGDFICP5LUVOAGUW}

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	2026-05-18T00:44:53.042443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c65a7dfea5cfa86195027f574ab806a596dac6b7a0b69b77f15fc255e07de124

Aliases

arxiv: 1112.4949 · arxiv_version: 1112.4949v1 · doi: 10.48550/arxiv.1112.4949 · pith_short_12: YZNH37VFZ6UG · pith_short_16: YZNH37VFZ6UGDFIC · pith_short_8: YZNH37VF

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/YZNH37VFZ6UGDFICP5LUVOAGUW \
  | 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: c65a7dfea5cfa86195027f574ab806a596dac6b7a0b69b77f15fc255e07de124

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27afa4ea6762d849d832cc2111c92e18aafa481fc5ff7bc8340d56a492c5a292",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-21T08:32:35Z",
    "title_canon_sha256": "7c71e22988fc97730642128034b76b433d1ec3c9d453d7611584e1c3ca1e3af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4949",
    "kind": "arxiv",
    "version": 1
  }
}