Pith Number

pith:NTZMVU77

pith:2013:NTZMVU77RZLEYG6Z56CBKZVWGS

not attested not anchored not stored refs pending

Homogeneous projective varieties with semi-continuous rank function

A. Petukhov, V. Tsanov

arxiv:1304.3322 v3 · 2013-04-11 · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTZMVU77RZLEYG6Z56CBKZVWGS}

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	2026-05-18T02:19:36.471116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf2cad3ff8e564c1bd9ef841566b6348d568af2ee9706a1acb647bba72ceb21

Aliases

arxiv: 1304.3322 · arxiv_version: 1304.3322v3 · doi: 10.48550/arxiv.1304.3322 · pith_short_12: NTZMVU77RZLE · pith_short_16: NTZMVU77RZLEYG6Z · pith_short_8: NTZMVU77

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/NTZMVU77RZLEYG6Z56CBKZVWGS \
  | 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: 6cf2cad3ff8e564c1bd9ef841566b6348d568af2ee9706a1acb647bba72ceb21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28b76e3e735180a00b112c7bd264585413f5b80f7f7167a74105bb4a8e42fb84",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-11T14:33:36Z",
    "title_canon_sha256": "1ac0772dcd9942ba853e8e144254097a9da756fdb46f360edfd7be21ad0cf915"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3322",
    "kind": "arxiv",
    "version": 3
  }
}