Pith Number

pith:APBHUDD4

pith:2012:APBHUDD4NWDPFWKXKJOKTN6WWP

not attested not anchored not stored refs pending

Categories of imaginaries for definable additive categories

Mike Prest

arxiv:1202.0427 v1 · 2012-02-02 · math.LO · math.CT · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{APBHUDD4NWDPFWKXKJOKTN6WWP}

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	2026-05-18T04:03:18.306892Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c27a0c7c6d86f2d957525ca9b7d6b3c4f77a23761be9adcdbab91113cab869

Aliases

arxiv: 1202.0427 · arxiv_version: 1202.0427v1 · doi: 10.48550/arxiv.1202.0427 · pith_short_12: APBHUDD4NWDP · pith_short_16: APBHUDD4NWDPFWKX · pith_short_8: APBHUDD4

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/APBHUDD4NWDPFWKXKJOKTN6WWP \
  | 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: 03c27a0c7c6d86f2d957525ca9b7d6b3c4f77a23761be9adcdbab91113cab869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2757e78b8f3a19b5db1e261b65baea48cad93f935357176fa70624e22e59f3d4",
    "cross_cats_sorted": [
      "math.CT",
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-02-02T13:28:51Z",
    "title_canon_sha256": "9f06ab655e7801bb9845766b7e519176c4ce238cf137fcefc24334dca48d04a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0427",
    "kind": "arxiv",
    "version": 1
  }
}