Pith Number

pith:6JEB3G5B

pith:2014:6JEB3G5BOCT4VKNVVCN3BLTEFX

not attested not anchored not stored refs pending

Quotients of schemes by $\alpha_p$ or $\mu_p$ actions in characteristic p>0

Nikolaos Tziolas

arxiv:1412.7941 v3 · 2014-12-26 · 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{6JEB3G5BOCT4VKNVVCN3BLTEFX}

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	2026-05-18T01:34:30.916795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2481d9ba170a7caa9b5a89bb0ae642dd29005608318c4e5e18b3859b4035b3f

Aliases

arxiv: 1412.7941 · arxiv_version: 1412.7941v3 · doi: 10.48550/arxiv.1412.7941 · pith_short_12: 6JEB3G5BOCT4 · pith_short_16: 6JEB3G5BOCT4VKNV · pith_short_8: 6JEB3G5B

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/6JEB3G5BOCT4VKNVVCN3BLTEFX \
  | 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: f2481d9ba170a7caa9b5a89bb0ae642dd29005608318c4e5e18b3859b4035b3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe9dbd3c42d72a4fcc64127b27632d88ece29c26856c1efb26b4cd7c23b8520",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-12-26T14:35:24Z",
    "title_canon_sha256": "dfcee9fcd1e2b6309d3fad1b75b3076c9d778bf168815c7c2580f99cc8beb755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7941",
    "kind": "arxiv",
    "version": 3
  }
}