Pith Number

pith:XYKEVWM4

pith:2013:XYKEVWM4CULNY4DKBFCMESWOXZ

not attested not anchored not stored refs pending

Initial ideals of Borel type

Anna Guerrieri, Fabrizio Brienza

arxiv:1310.3982 v1 · 2013-10-15 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYKEVWM4CULNY4DKBFCMESWOXZ}

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	2026-05-18T03:10:25.518804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be144ad99c1516dc706a0944c24acebe5eb19f362e7ac2eb7c32bc354753a7a7

Aliases

arxiv: 1310.3982 · arxiv_version: 1310.3982v1 · doi: 10.48550/arxiv.1310.3982 · pith_short_12: XYKEVWM4CULN · pith_short_16: XYKEVWM4CULNY4DK · pith_short_8: XYKEVWM4

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/XYKEVWM4CULNY4DKBFCMESWOXZ \
  | 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: be144ad99c1516dc706a0944c24acebe5eb19f362e7ac2eb7c32bc354753a7a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98cd3a7e8484f02dcf4b0ffb698fb48b81f44b8cd42544077e8331c4d7d007bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-10-15T09:49:59Z",
    "title_canon_sha256": "9a3aab46b50c94480183fa5ed5f535c2c925f5e1f71a83e49f43411b7c9526dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.3982",
    "kind": "arxiv",
    "version": 1
  }
}