Pith Number

pith:PEYC7BCH

pith:2018:PEYC7BCHPFWN4SDDWDPM5JEJIG

not attested not anchored not stored refs pending

Morita theory for stable derivators

Simone Virili

arxiv:1807.01505 v2 · 2018-07-04 · math.KT · 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{PEYC7BCHPFWN4SDDWDPM5JEJIG}

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	2026-05-17T23:50:59.583189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79302f8447796cde4863b0decea48941814bf9a5ea13ff161dda3f46f5fb52c8

Aliases

arxiv: 1807.01505 · arxiv_version: 1807.01505v2 · doi: 10.48550/arxiv.1807.01505 · pith_short_12: PEYC7BCHPFWN · pith_short_16: PEYC7BCHPFWN4SDD · pith_short_8: PEYC7BCH

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/PEYC7BCHPFWN4SDDWDPM5JEJIG \
  | 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: 79302f8447796cde4863b0decea48941814bf9a5ea13ff161dda3f46f5fb52c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a89c47262f81bcad6f21fbdb86cf2ba689459c1edecb7d3977988aea19dc1ed3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2018-07-04T10:00:15Z",
    "title_canon_sha256": "f0e44fe2ce9db71d8b73787caef5b3387110103ba594801b5359c2fc02ea09e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01505",
    "kind": "arxiv",
    "version": 2
  }
}