Pith Number

pith:Q6EG52CE

pith:2021:Q6EG52CEGW77IFFFHEC6YWAMUG

not attested not anchored not stored refs pending

Banach spaces containing $c_0$ and elements in the fourth dual

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

arxiv:2110.14313 v1 · 2021-10-27 · 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{Q6EG52CEGW77IFFFHEC6YWAMUG}

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	2026-07-05T03:26:26.458766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87886ee84435bff414a53905ec580ca19bba20c24f268d2846856b07f16db115

Aliases

arxiv: 2110.14313 · arxiv_version: 2110.14313v1 · doi: 10.48550/arxiv.2110.14313 · pith_short_12: Q6EG52CEGW77 · pith_short_16: Q6EG52CEGW77IFFF · pith_short_8: Q6EG52CE

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/Q6EG52CEGW77IFFFHEC6YWAMUG \
  | 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: 87886ee84435bff414a53905ec580ca19bba20c24f268d2846856b07f16db115

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf5567671870b05c45cc5d7fd43a8dee9689ec2ca0dfaa8b4f66f97f95778b81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2021-10-27T09:47:37Z",
    "title_canon_sha256": "3938cb2364363dce5a14967755e47b7672fe37384b1ae93f6d083e8d4545ae33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.14313",
    "kind": "arxiv",
    "version": 1
  }
}