Pith Number

pith:ZTQ5SK2U

pith:2018:ZTQ5SK2UP7SN66XHOJMAGGDYF2

not attested not anchored not stored refs pending

Irrational Toric Varieties

Ata Firat Pir

arxiv:1809.05130 v2 · 2018-09-13 · 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{ZTQ5SK2UP7SN66XHOJMAGGDYF2}

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	2026-05-18T00:03:41.012871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cce1d92b547fe4df7ae772580318782ea59094edb664386d7c56238e511e44b5

Aliases

arxiv: 1809.05130 · arxiv_version: 1809.05130v2 · doi: 10.48550/arxiv.1809.05130 · pith_short_12: ZTQ5SK2UP7SN · pith_short_16: ZTQ5SK2UP7SN66XH · pith_short_8: ZTQ5SK2U

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/ZTQ5SK2UP7SN66XHOJMAGGDYF2 \
  | 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: cce1d92b547fe4df7ae772580318782ea59094edb664386d7c56238e511e44b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2ab9459f93f5388175816476615183ce56c94516aabea8458a91d5dd23c358d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-09-13T18:30:17Z",
    "title_canon_sha256": "a2391852a0a03332b2bc74386b6ef4bdaaff17d1b098debd87a8800ca04ee093"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.05130",
    "kind": "arxiv",
    "version": 2
  }
}