Pith Number

pith:EAYCQQTO

pith:2012:EAYCQQTOQLVWHNJWTWQQ6U6DRX

not attested not anchored not stored refs pending

Waldhausen Additivity: Classical and Quasicategorical

Malte Pieper, Thomas M. Fiore

arxiv:1207.6613 v4 · 2012-07-27 · math.AT · 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{EAYCQQTOQLVWHNJWTWQQ6U6DRX}

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	2026-05-18T00:11:12.046941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

203028426e82eb63b5369da10f53c38dfad1b83e582a3d5f9c079b637499636a

Aliases

arxiv: 1207.6613 · arxiv_version: 1207.6613v4 · doi: 10.48550/arxiv.1207.6613 · pith_short_12: EAYCQQTOQLVW · pith_short_16: EAYCQQTOQLVWHNJW · pith_short_8: EAYCQQTO

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/EAYCQQTOQLVWHNJWTWQQ6U6DRX \
  | 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: 203028426e82eb63b5369da10f53c38dfad1b83e582a3d5f9c079b637499636a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a35a17d6aac376e7db122012f7e3df8079d0ddf78e2f1f231524475be971cc8e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-07-27T18:46:24Z",
    "title_canon_sha256": "b1e9040ce41fc1f353c5a1e6dd0b2089420abb30ac42cf95f63126aeedb131e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6613",
    "kind": "arxiv",
    "version": 4
  }
}