Pith Number

pith:IHPTKUQD

pith:2015:IHPTKUQDIMJQR7XD6DHGERQVM2

not attested not anchored not stored refs pending

Completeness of Sums of Subspace of Bounded Functions and Applications

Jo\"el Blot (SAMM), Philippe Cieutat (LM-Versailles)

arxiv:1510.01160 v1 · 2015-10-05 · 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{IHPTKUQDIMJQR7XD6DHGERQVM2}

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	2026-05-18T01:31:04.645511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41df355203431308fee3f0ce62461566a7c5eb5607592c237ec6662bf4576005

Aliases

arxiv: 1510.01160 · arxiv_version: 1510.01160v1 · doi: 10.48550/arxiv.1510.01160 · pith_short_12: IHPTKUQDIMJQ · pith_short_16: IHPTKUQDIMJQR7XD · pith_short_8: IHPTKUQD

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/IHPTKUQDIMJQR7XD6DHGERQVM2 \
  | 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: 41df355203431308fee3f0ce62461566a7c5eb5607592c237ec6662bf4576005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6abe375b46d5a8fd1ee259e607f9b5f904d2c861a0f87e1187329edd725c4f37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-05T14:05:29Z",
    "title_canon_sha256": "64c81f4f59d96dd331d985779a9b4d2676c06713012ab93d9985728ca82b90c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01160",
    "kind": "arxiv",
    "version": 1
  }
}