Pith Number

pith:OEMUP7BY

pith:2016:OEMUP7BY7HEXRNSIIH64OVM65Q

not attested not anchored not stored refs pending

Various notions of best approximation property in spaces of Bochner integrable functions

Tanmoy Paul

arxiv:1610.03209 v4 · 2016-10-11 · 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{OEMUP7BY7HEXRNSIIH64OVM65Q}

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	2026-05-18T00:51:33.894934Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

711947fc38f9c978b64841fdc7559eec2917c46ed7b8c5b62333fa6110d4e527

Aliases

arxiv: 1610.03209 · arxiv_version: 1610.03209v4 · doi: 10.48550/arxiv.1610.03209 · pith_short_12: OEMUP7BY7HEX · pith_short_16: OEMUP7BY7HEXRNSI · pith_short_8: OEMUP7BY

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/OEMUP7BY7HEXRNSIIH64OVM65Q \
  | 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: 711947fc38f9c978b64841fdc7559eec2917c46ed7b8c5b62333fa6110d4e527

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37db0edcd4778d41a1b3c1a939a0be0f5aa1c97380fa02410fa6ba7beae0f073",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-10-11T06:31:46Z",
    "title_canon_sha256": "f57a245d31ce37d94ab1b21eb5b4659cdd22cc54716369c8944a1254ccc14547"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03209",
    "kind": "arxiv",
    "version": 4
  }
}