Pith Number

pith:DKHYKC5P

pith:2021:DKHYKC5P4ZMEROGH2T4RWX2G3K

not attested not anchored not stored refs pending

Free Banach lattices generated by a lattice and projectivity

Abraham Rueda Zoca, Antonio Avil\'es, Gonzalo Mart\'inez-Cervantes, Jos\'e David Rodr\'iguez Abell\'an

arxiv:2103.08170 v1 · 2021-03-15 · 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{DKHYKC5P4ZMEROGH2T4RWX2G3K}

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	2026-07-05T02:22:48.498129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8f850bafe65848b8c7d4f91b5f46dabf7933da8107ea6521aec40e18380c65

Aliases

arxiv: 2103.08170 · arxiv_version: 2103.08170v1 · doi: 10.48550/arxiv.2103.08170 · pith_short_12: DKHYKC5P4ZME · pith_short_16: DKHYKC5P4ZMEROGH · pith_short_8: DKHYKC5P

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/DKHYKC5P4ZMEROGH2T4RWX2G3K \
  | 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: 1a8f850bafe65848b8c7d4f91b5f46dabf7933da8107ea6521aec40e18380c65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "155291e326e5fbf17f11134ea94d5b10b3202445da24a788c0a70147bfbc0634",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-03-15T07:27:36Z",
    "title_canon_sha256": "ca7baf371c572ba171ee80355cc3c8ce9d32a7ae02da9ddfa70a291e5fb9428e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.08170",
    "kind": "arxiv",
    "version": 1
  }
}