Pith Number

pith:MIPNQHPJ

pith:2022:MIPNQHPJXV7YR2HF75E3UWY4HH

not attested not anchored not stored refs pending

$\mathbb{A}^1$-homotopy theory of log schemes

Doosung Park

arxiv:2205.14750 v3 · 2022-05-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MIPNQHPJXV7YR2HF75E3UWY4HH}

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	2026-07-05T05:48:34.004303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

621ed81de9bd7f88e8e5ff49ba5b1c39d9b7148276fa42d6fda075f4b2f1e250

Aliases

arxiv: 2205.14750 · arxiv_version: 2205.14750v3 · doi: 10.48550/arxiv.2205.14750 · pith_short_12: MIPNQHPJXV7Y · pith_short_16: MIPNQHPJXV7YR2HF · pith_short_8: MIPNQHPJ

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/MIPNQHPJXV7YR2HF75E3UWY4HH \
  | 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: 621ed81de9bd7f88e8e5ff49ba5b1c39d9b7148276fa42d6fda075f4b2f1e250

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c8dce14aac4d0c8ee88e46b96ce3f95bd4682c8d3a783c4fcb758243f0ee55",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2022-05-29T19:48:00Z",
    "title_canon_sha256": "321a62a5a74b7b97447c920e1a01da7897858498a1a0b84c53b3654ed31d0edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.14750",
    "kind": "arxiv",
    "version": 3
  }
}