Pith Number

pith:E55REQAB

pith:2009:E55REQABBGK5TMQXFPXTUMBOEZ

not attested not anchored not stored refs pending

Martin-L\"of Complexes

Michael A. Warren, Pieter Hofstra, Steve Awodey

arxiv:0906.4521 v2 · 2009-06-24 · math.LO · 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{E55REQABBGK5TMQXFPXTUMBOEZ}

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	2026-05-18T03:55:01.847830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

277b1240010995d9b2172bef3a302e26640fd50816962d35dedc26cdf38ea50f

Aliases

arxiv: 0906.4521 · arxiv_version: 0906.4521v2 · doi: 10.48550/arxiv.0906.4521 · pith_short_12: E55REQABBGK5 · pith_short_16: E55REQABBGK5TMQX · pith_short_8: E55REQAB

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/E55REQABBGK5TMQXFPXTUMBOEZ \
  | 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: 277b1240010995d9b2172bef3a302e26640fd50816962d35dedc26cdf38ea50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19e61bb4cadaf585cb08041129308ae29166d23a5f4bee63c72f6f84d662454b",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2009-06-24T19:59:21Z",
    "title_canon_sha256": "13a4d288fd306daabf040eaa14b7348b4fbb7b533641390f4ae7b4cbbaf253d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4521",
    "kind": "arxiv",
    "version": 2
  }
}