Pith Number

pith:TTUUZU6Z

pith:2019:TTUUZU6ZNEYDDPUISUSAV7DHZU

not attested not anchored not stored refs pending

Birationally rigid finite covers of the projective space

Aleksandr V. Pukhlikov

arxiv:1901.01086 v1 · 2019-01-04 · 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{TTUUZU6ZNEYDDPUISUSAV7DHZU}

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.

Cited by

1 paper in Pith

Canonical and log canonical thresholds of multiple projective spaces

Receipt and verification

First computed	2026-05-17T23:56:57.136494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ce94cd3d9693031be8895240afc67cd1e15a6f48096bef80bb959016f5aa140

Aliases

arxiv: 1901.01086 · arxiv_version: 1901.01086v1 · doi: 10.48550/arxiv.1901.01086 · pith_short_12: TTUUZU6ZNEYD · pith_short_16: TTUUZU6ZNEYDDPUI · pith_short_8: TTUUZU6Z

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/TTUUZU6ZNEYDDPUISUSAV7DHZU \
  | 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: 9ce94cd3d9693031be8895240afc67cd1e15a6f48096bef80bb959016f5aa140

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d55ada78f5271556370e18cc1518b776f5cd080d04524d6dd5a6a76ef1b2ad4d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-04T13:35:09Z",
    "title_canon_sha256": "aecb0fbed221a238cc715e9134001c70818ceece465fbb82cc4d784293d5ae71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01086",
    "kind": "arxiv",
    "version": 1
  }
}