Pith Number

pith:ADYKRG6B

pith:2017:ADYKRG6BJITETGYSOMETF6JHVN

not attested not anchored not stored refs pending

Vinberg's X_4 Revisited

{\L}ukasz Sienkiewicz

arxiv:1706.02232 v3 · 2017-06-07 · 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{ADYKRG6BJITETGYSOMETF6JHVN}

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	2026-05-18T00:12:02.559715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00f0a89bc14a26499b12730932f927ab4109fb54136ec5c9b6c59556710370ce

Aliases

arxiv: 1706.02232 · arxiv_version: 1706.02232v3 · doi: 10.48550/arxiv.1706.02232 · pith_short_12: ADYKRG6BJITE · pith_short_16: ADYKRG6BJITETGYS · pith_short_8: ADYKRG6B

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/ADYKRG6BJITETGYSOMETF6JHVN \
  | 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: 00f0a89bc14a26499b12730932f927ab4109fb54136ec5c9b6c59556710370ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8000986c5d9d111ea756e44696bd1202f9fd736cbb0335daaaa1a5ca847d1cdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-06-07T15:45:09Z",
    "title_canon_sha256": "044437680b01aa37bfd80f42cd161c0e2b4b33ff3850d2c54a1b81436a3911f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02232",
    "kind": "arxiv",
    "version": 3
  }
}