Pith Number

pith:ZWHOCJ6M

pith:2025:ZWHOCJ6MQOZYZB3KLOKOKWP7BS

not attested not anchored not stored refs pending

Engineered complete intersections: eliminating variables and understanding topology

Alexander Esterov

arxiv:2504.16018 v1 · 2025-04-22 · 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{ZWHOCJ6MQOZYZB3KLOKOKWP7BS}

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

Toward a classification of tropical complete intersection number one

Receipt and verification

First computed	2026-07-05T10:52:33.599093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd8ee127cc83b38c876a5b94e559ff0cb66899d06c25971cd5c9bc530823536d

Aliases

arxiv: 2504.16018 · arxiv_version: 2504.16018v1 · doi: 10.48550/arxiv.2504.16018 · pith_short_12: ZWHOCJ6MQOZY · pith_short_16: ZWHOCJ6MQOZYZB3K · pith_short_8: ZWHOCJ6M

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/ZWHOCJ6MQOZYZB3KLOKOKWP7BS \
  | 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: cd8ee127cc83b38c876a5b94e559ff0cb66899d06c25971cd5c9bc530823536d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a41446132a8426ee95977f6368d1b9655e03a07d9064a4ab513846aec79d71c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-04-22T16:28:47Z",
    "title_canon_sha256": "65f2b624afa85a605ca6010a206baca6f3a7999224013a44ffac77fe66575a5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16018",
    "kind": "arxiv",
    "version": 1
  }
}