Pith Number

pith:T4XMMUH2

pith:2016:T4XMMUH2PQAIRONPGWITQYB644

not attested not anchored not stored refs pending

Minimum distance functions of complete intersections

Jose Martinez-Bernal, Rafael H. Villarreal, Yuriko Pitones

arxiv:1601.07604 v4 · 2016-01-28 · math.AC · cs.IT · math.AG · math.CO · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4XMMUH2PQAIRONPGWITQYB644}

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	2026-05-17T23:44:04.967345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f2ec650fa7c0088b9af359138603ee706df54e5e0eb9bdeb3f536ce763ec345

Aliases

arxiv: 1601.07604 · arxiv_version: 1601.07604v4 · doi: 10.48550/arxiv.1601.07604 · pith_short_12: T4XMMUH2PQAI · pith_short_16: T4XMMUH2PQAIRONP · pith_short_8: T4XMMUH2

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/T4XMMUH2PQAIRONPGWITQYB644 \
  | 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: 9f2ec650fa7c0088b9af359138603ee706df54e5e0eb9bdeb3f536ce763ec345

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9010b6730e99432659cab16cf059188c5396e69b13b927bb6b8c2a70fe49698a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.AG",
      "math.CO",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-01-28T00:00:56Z",
    "title_canon_sha256": "9af1181dd355ec6d7b6b2d8af8e1c90aa76a06f72f8cbc9370b5128d17bcf00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07604",
    "kind": "arxiv",
    "version": 4
  }
}