Pith Number

pith:D2GDQDO4

pith:2020:D2GDQDO47XUZZ42PDWQGOURYNC

not attested not anchored not stored refs pending

Categorical Milnor squares and K-theory of algebraic stacks

Adeel A. Khan, Charanya Ravi, Tom Bachmann, Vladimir Sosnilo

arxiv:2011.04355 v3 · 2020-11-09 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2GDQDO47XUZZ42PDWQGOURYNC}

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	2026-06-19T16:12:43.441175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e8c380ddcfde99cf34f1da0675238688298e98754a561987361089c022d2331

Aliases

arxiv: 2011.04355 · arxiv_version: 2011.04355v3 · doi: 10.48550/arxiv.2011.04355 · pith_short_12: D2GDQDO47XUZ · pith_short_16: D2GDQDO47XUZZ42P · pith_short_8: D2GDQDO4

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/D2GDQDO47XUZZ42PDWQGOURYNC \
  | 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: 1e8c380ddcfde99cf34f1da0675238688298e98754a561987361089c022d2331

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "128f79de7d9db7f9721072eba9531bed35796a9e9e47132f51c4c75cad4ef299",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-11-09T11:38:34Z",
    "title_canon_sha256": "21a52f0ffd9b97411a092c218a33357a4638a50582f39835b81f8cf6e3b7caeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04355",
    "kind": "arxiv",
    "version": 3
  }
}