Pith Number

pith:3GWMLZLI

pith:2016:3GWMLZLIILZPPW2TMZGJPSV2RA

not attested not anchored not stored refs pending

Varieties with $\mathbb P$-units

Andreas Krug

arxiv:1604.03537 v1 · 2016-04-12 · 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{3GWMLZLIILZPPW2TMZGJPSV2RA}

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	2026-05-18T01:17:13.235433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9acc5e56842f2f7db53664c97caba880d9c48aa4a46d3378a88c62873dd21d1

Aliases

arxiv: 1604.03537 · arxiv_version: 1604.03537v1 · doi: 10.48550/arxiv.1604.03537 · pith_short_12: 3GWMLZLIILZP · pith_short_16: 3GWMLZLIILZPPW2T · pith_short_8: 3GWMLZLI

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/3GWMLZLIILZPPW2TMZGJPSV2RA \
  | 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: d9acc5e56842f2f7db53664c97caba880d9c48aa4a46d3378a88c62873dd21d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55313fa2792524c019fd427afd71fc9a96b94b2026167e53acd287ccd5665b56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-04-12T19:41:02Z",
    "title_canon_sha256": "f2670cd3979135ef257e3f3d81b857b40658fd9a426234c1c79159e53952207f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03537",
    "kind": "arxiv",
    "version": 1
  }
}