Pith Number

pith:M4PCK6HC

pith:2015:M4PCK6HCXKX4YOY7ZCZCPHEOYE

not attested not anchored not stored refs pending

Versions of Eberlein-\v{S}mulian and Amir-Lindenstrauss theorems in the framework of conditional sets

Jos\'e Miguel Zapata

arxiv:1508.05112 v7 · 2015-08-20 · 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{M4PCK6HCXKX4YOY7ZCZCPHEOYE}

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	2026-05-18T01:03:36.857763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671e2578e2baafcc3b1fc8b2279c8ec1266e1ba5c7fe9a0cb2f7d553d7b1abb4

Aliases

arxiv: 1508.05112 · arxiv_version: 1508.05112v7 · doi: 10.48550/arxiv.1508.05112 · pith_short_12: M4PCK6HCXKX4 · pith_short_16: M4PCK6HCXKX4YOY7 · pith_short_8: M4PCK6HC

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/M4PCK6HCXKX4YOY7ZCZCPHEOYE \
  | 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: 671e2578e2baafcc3b1fc8b2279c8ec1266e1ba5c7fe9a0cb2f7d553d7b1abb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "744228a4fdf0f9f4cf69f69272586078d6f123af604c082803ecefe2ee401b69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-08-20T20:24:21Z",
    "title_canon_sha256": "bb00ade2a56df430ab492034ab63b7ad3eefa098aaf8374015e2ddba817af333"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05112",
    "kind": "arxiv",
    "version": 7
  }
}