Pith Number

pith:U72K3I2C

pith:2014:U72K3I2CKTKYG4EJRLB37AXP3T

not attested not anchored not stored refs pending

Coincidence of extendible vector-valued ideals with their minimal kernel

Daniel Galicer, Rom\'an Villafa\~ne

arxiv:1401.7896 v2 · 2014-01-30 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U72K3I2CKTKYG4EJRLB37AXP3T}

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	2026-05-18T02:47:44.440743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7f4ada34254d58370898ac3bf82efdce358ed0cee2ea77847ed0f1681901c26

Aliases

arxiv: 1401.7896 · arxiv_version: 1401.7896v2 · doi: 10.48550/arxiv.1401.7896 · pith_short_12: U72K3I2CKTKY · pith_short_16: U72K3I2CKTKYG4EJ · pith_short_8: U72K3I2C

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/U72K3I2CKTKYG4EJRLB37AXP3T \
  | 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: a7f4ada34254d58370898ac3bf82efdce358ed0cee2ea77847ed0f1681901c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a67325ebea5d600294edac62d41f36ee5ab5dfd9cb547a66e9eb49d707dd9fda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-01-30T15:56:09Z",
    "title_canon_sha256": "2ec3ce05f09bc20351205311e75a7acde3d360d93174f4dc137cfdfbc3b6ec1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7896",
    "kind": "arxiv",
    "version": 2
  }
}