Pith Number

pith:VTQTVKE5

pith:2015:VTQTVKE5ANU5QFYHGIQPNNN5TS

not attested not anchored not stored refs pending

A Note on Normalizations of Orbit Closures

Jesko H\"uttenhain

arxiv:1512.04352 v2 · 2015-12-14 · 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{VTQTVKE5ANU5QFYHGIQPNNN5TS}

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	2026-05-18T00:46:44.115876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ace13aa89d0369d817073220f6b5bd9cb6d0cecc59d0b0a2db642fdfdd3aef2e

Aliases

arxiv: 1512.04352 · arxiv_version: 1512.04352v2 · doi: 10.48550/arxiv.1512.04352 · pith_short_12: VTQTVKE5ANU5 · pith_short_16: VTQTVKE5ANU5QFYH · pith_short_8: VTQTVKE5

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/VTQTVKE5ANU5QFYHGIQPNNN5TS \
  | 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: ace13aa89d0369d817073220f6b5bd9cb6d0cecc59d0b0a2db642fdfdd3aef2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "001adf9fbf78fc582e0f58c8faf12e7f2aacdc32da3ab5e6e20e2d3cb80829e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-14T14:58:37Z",
    "title_canon_sha256": "6572911c7ad06cbb90cf6007e9be06f800d6fa0b3a6b4b261dc8c120be24e013"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04352",
    "kind": "arxiv",
    "version": 2
  }
}