Pith Number

pith:K2II5EFQ

pith:2016:K2II5EFQDIZW6XBABREM2N5SZA

not attested not anchored not stored refs pending

Regularity of the vanishing ideal over a parallel composition of paths

Antonio Macchia, Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal

arxiv:1606.08621 v1 · 2016-06-28 · math.AC · 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{K2II5EFQDIZW6XBABREM2N5SZA}

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	2026-05-18T01:11:47.376731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56908e90b01a336f5c200c48cd37b2c80a87bd85418b02a932cd982c5693d889

Aliases

arxiv: 1606.08621 · arxiv_version: 1606.08621v1 · doi: 10.48550/arxiv.1606.08621 · pith_short_12: K2II5EFQDIZW · pith_short_16: K2II5EFQDIZW6XBA · pith_short_8: K2II5EFQ

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/K2II5EFQDIZW6XBABREM2N5SZA \
  | 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: 56908e90b01a336f5c200c48cd37b2c80a87bd85418b02a932cd982c5693d889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ff0bcdfa4472d0db5b2cf7628d99db7eec25e31a355ce0ee1b2c21887e0ae3d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-06-28T09:20:25Z",
    "title_canon_sha256": "16aff109b9af247275741b80d5e8f6b33dbb4e6d6a9456b326e674ce099a30a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08621",
    "kind": "arxiv",
    "version": 1
  }
}