Pith Number

pith:PJCBIRXE

pith:2013:PJCBIRXEWYORBOZSJ55OXDMHFE

not attested not anchored not stored refs pending

Extreme differences between weakly open subsets and convex combinations of slices in Banach spaces

Abraham Rueda Zoca, Gin\'es L\'opez-P\'erez, Julio Becerra Guerrero

arxiv:1309.4950 v3 · 2013-09-19 · 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{PJCBIRXEWYORBOZSJ55OXDMHFE}

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	2026-05-18T02:40:02.231228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a441446e4b61d10bb324f7aeb8d872924c3a116023e0eb7f5939f5548501ee6

Aliases

arxiv: 1309.4950 · arxiv_version: 1309.4950v3 · doi: 10.48550/arxiv.1309.4950 · pith_short_12: PJCBIRXEWYOR · pith_short_16: PJCBIRXEWYORBOZS · pith_short_8: PJCBIRXE

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/PJCBIRXEWYORBOZSJ55OXDMHFE \
  | 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: 7a441446e4b61d10bb324f7aeb8d872924c3a116023e0eb7f5939f5548501ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60cabac2a486d786f089d2dd3ddadbfbca0097cee83c7b0db1101045f3e26663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-19T12:21:31Z",
    "title_canon_sha256": "1b8d7492d1db83e83b8a2762afe3ed861b5b8d23874bc5376a6e04f3983187a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4950",
    "kind": "arxiv",
    "version": 3
  }
}