Pith Number

pith:675DEP6K

pith:2021:675DEP6KRZR6HA2BD7YR4KR3TA

not attested not anchored not stored refs pending

Linear versus lattice embeddings between Banach lattices

Abraham Rueda Zoca, Antonio Avil\'es, Gonzalo Mart\'inez-Cervantes, Pedro Tradacete

arxiv:2109.00832 v1 · 2021-09-02 · 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{675DEP6KRZR6HA2BD7YR4KR3TA}

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	2026-07-05T03:10:58.885766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7fa323fca8e63e383411ff11e2a3b981140d58b8bce79bf2545bf16d4db4ed2

Aliases

arxiv: 2109.00832 · arxiv_version: 2109.00832v1 · doi: 10.48550/arxiv.2109.00832 · pith_short_12: 675DEP6KRZR6 · pith_short_16: 675DEP6KRZR6HA2B · pith_short_8: 675DEP6K

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/675DEP6KRZR6HA2BD7YR4KR3TA \
  | 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: f7fa323fca8e63e383411ff11e2a3b981140d58b8bce79bf2545bf16d4db4ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a70259c94a87c8e71b7b2be7a3fb953c5fb8136b6025b9711bee5782f22ce9e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-09-02T10:32:27Z",
    "title_canon_sha256": "32b1b9392119c575d24e185a4d797b280b4aec40ebb6268d8d62f8d94b0e8815"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.00832",
    "kind": "arxiv",
    "version": 1
  }
}