Pith Number

pith:NLZOVEU6

pith:2014:NLZOVEU6WTNAYVQKKPLAKSPS34

not attested not anchored not stored refs pending

Equivalence of two notions of log moduli stacks

Junchao Shentu

arxiv:1404.0157 v2 · 2014-04-01 · 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{NLZOVEU6WTNAYVQKKPLAKSPS34}

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	2026-05-18T02:52:13.928883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6af2ea929eb4da0c560a53d60549f2df0c959fe1c20e5646a30fc20f53fde3ef

Aliases

arxiv: 1404.0157 · arxiv_version: 1404.0157v2 · doi: 10.48550/arxiv.1404.0157 · pith_short_12: NLZOVEU6WTNA · pith_short_16: NLZOVEU6WTNAYVQK · pith_short_8: NLZOVEU6

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/NLZOVEU6WTNAYVQKKPLAKSPS34 \
  | 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: 6af2ea929eb4da0c560a53d60549f2df0c959fe1c20e5646a30fc20f53fde3ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d14ce3b48f53da91363d49c44f3001323df1b712e6d47ea1fa995d1ec5cad0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-01T08:17:47Z",
    "title_canon_sha256": "d296aaf1fa142ccaad0474c20e2b11c9638f5644b1349f6820e98fedb9527599"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0157",
    "kind": "arxiv",
    "version": 2
  }
}