Pith Number

pith:6Z3FLEHR

pith:2016:6Z3FLEHRMF5C3Z646AHJSMWIYT

not attested not anchored not stored refs pending

Embeddings and associated spaces of Copson-Lorentz spaces

Martin K\v{r}epela

arxiv:1612.03725 v2 · 2016-12-12 · 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{6Z3FLEHRMF5C3Z646AHJSMWIYT}

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	2026-05-18T00:03:41.880870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6765590f1617a2de7dcf00e9932c8c4e56fbe87d47910f79e42117935afef19

Aliases

arxiv: 1612.03725 · arxiv_version: 1612.03725v2 · doi: 10.48550/arxiv.1612.03725 · pith_short_12: 6Z3FLEHRMF5C · pith_short_16: 6Z3FLEHRMF5C3Z64 · pith_short_8: 6Z3FLEHR

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/6Z3FLEHRMF5C3Z646AHJSMWIYT \
  | 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: f6765590f1617a2de7dcf00e9932c8c4e56fbe87d47910f79e42117935afef19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6137f2eebad5f9434de7dae9d3fc5af47c6b128eab5d025af8549c789dfdcab3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-12-12T14:57:29Z",
    "title_canon_sha256": "2e4dbb5e65d774fe21057e7724206d412bb2973b00c6ba5ac5f4b9ae76805571"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03725",
    "kind": "arxiv",
    "version": 2
  }
}