Pith Number

pith:2IB5BH3B

pith:2016:2IB5BH3BW6UNPQK4MPMW2WGRWM

not attested not anchored not stored refs pending

A metric interpretation of reflexivity for Banach spaces

Pavlos Motakis, Thomas Schlumprecht

arxiv:1604.07271 v1 · 2016-04-25 · math.FA · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2IB5BH3BW6UNPQK4MPMW2WGRWM}

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	2026-05-18T00:23:01.835608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d203d09f61b7a8d7c15c63d96d58d1b30f60a4b5f383dda20decc8a778bcd0cb

Aliases

arxiv: 1604.07271 · arxiv_version: 1604.07271v1 · doi: 10.48550/arxiv.1604.07271 · pith_short_12: 2IB5BH3BW6UN · pith_short_16: 2IB5BH3BW6UNPQK4 · pith_short_8: 2IB5BH3B

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/2IB5BH3BW6UNPQK4MPMW2WGRWM \
  | 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: d203d09f61b7a8d7c15c63d96d58d1b30f60a4b5f383dda20decc8a778bcd0cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b132b3e6ee255860520290589867c17c33ee4c86c4c00943c7d5c96d1697d4",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-25T14:21:03Z",
    "title_canon_sha256": "976551d9015d23123972c50619292d6556ba5a6943232f615293a914720697c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07271",
    "kind": "arxiv",
    "version": 1
  }
}