Pith Number

pith:5PHH253A

pith:2015:5PHH253AB4Z24L74MO2M5UOUOE

not attested not anchored not stored refs pending

Explicit estimates for polynomial systems defining irreducible smooth complete intersections

Guillermo Matera, Joachim von zur Gathen

arxiv:1512.05598 v1 · 2015-12-17 · math.NT · 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{5PHH253AB4Z24L74MO2M5UOUOE}

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	2026-05-18T01:24:09.679788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebce7d77600f33ae2ffc63b4ced1d471351c794ab6de1fcc852a8aecdf46ea82

Aliases

arxiv: 1512.05598 · arxiv_version: 1512.05598v1 · doi: 10.48550/arxiv.1512.05598 · pith_short_12: 5PHH253AB4Z2 · pith_short_16: 5PHH253AB4Z24L74 · pith_short_8: 5PHH253A

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/5PHH253AB4Z24L74MO2M5UOUOE \
  | 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: ebce7d77600f33ae2ffc63b4ced1d471351c794ab6de1fcc852a8aecdf46ea82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99540701685b7f9170ba936e5c7c94cea21d0c96eec7c5cdcc8f94e7da6a2ace",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-17T14:32:14Z",
    "title_canon_sha256": "d0e6c9735d58db053538a73177b704727bf656ca41824f9916aa284d12a6e979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05598",
    "kind": "arxiv",
    "version": 1
  }
}