Pith Number

pith:NROZ62DV

pith:2013:NROZ62DVHZN6DMVMLBCYNGR6RN

not attested not anchored not stored refs pending

On explicit constructions of auerbach bases in separable Banach spaces

Robert Bogucki

arxiv:1308.4429 v1 · 2013-08-20 · 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{NROZ62DVHZN6DMVMLBCYNGR6RN}

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	2026-05-18T03:15:31.859685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c5d9f68753e5be1b2ac5845869a3e8b7d346938118a069d272ad88b8bcd2c49

Aliases

arxiv: 1308.4429 · arxiv_version: 1308.4429v1 · doi: 10.48550/arxiv.1308.4429 · pith_short_12: NROZ62DVHZN6 · pith_short_16: NROZ62DVHZN6DMVM · pith_short_8: NROZ62DV

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/NROZ62DVHZN6DMVMLBCYNGR6RN \
  | 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: 6c5d9f68753e5be1b2ac5845869a3e8b7d346938118a069d272ad88b8bcd2c49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc89bf182aa7a3b08689cd9f5fba7fdf0dd245fb76eea58fdf8504b75123c69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-20T20:47:40Z",
    "title_canon_sha256": "fdcd915fedd5f2c29787050c6a99037af2c91370097e114d86176eff8abbdcd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4429",
    "kind": "arxiv",
    "version": 1
  }
}