Pith Number

pith:RVB7CL4N

pith:2016:RVB7CL4NMXINN6CO4BZYGLIJ3K

not attested not anchored not stored refs pending

Banach spaces with weak*-sequential dual ball

Gonzalo Mart\'inez-Cervantes

arxiv:1612.05948 v1 · 2016-12-18 · 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{RVB7CL4NMXINN6CO4BZYGLIJ3K}

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	2026-05-18T00:54:46.287151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d43f12f8d65d0d6f84ee073832d09daba2205069cce1729592dd9d0a24da432

Aliases

arxiv: 1612.05948 · arxiv_version: 1612.05948v1 · doi: 10.48550/arxiv.1612.05948 · pith_short_12: RVB7CL4NMXIN · pith_short_16: RVB7CL4NMXINN6CO · pith_short_8: RVB7CL4N

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/RVB7CL4NMXINN6CO4BZYGLIJ3K \
  | 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: 8d43f12f8d65d0d6f84ee073832d09daba2205069cce1729592dd9d0a24da432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50e707ab198d1f4f33a23e3d5423cb8fd7540018cd29728619bff279226d37da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-18T17:08:33Z",
    "title_canon_sha256": "9bc89f756c6e4ebbe1d6bb7d75c936f6e8857eeeeddca62ade5f57d500ed867f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05948",
    "kind": "arxiv",
    "version": 1
  }
}