Pith Number

pith:7D6QWRVT

pith:2015:7D6QWRVTHBVI35J46PEZSP5XTV

not attested not anchored not stored refs pending

Generalized injectivity of Banach modules

Mohammad Fozouni

arxiv:1502.04506 v2 · 2015-02-16 · 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{7D6QWRVTHBVI35J46PEZSP5XTV}

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	2026-05-18T01:19:20.666399Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8fd0b46b3386a8df53cf3c9993fb79d692f30019f5b23c304f439381f68622f

Aliases

arxiv: 1502.04506 · arxiv_version: 1502.04506v2 · doi: 10.48550/arxiv.1502.04506 · pith_short_12: 7D6QWRVTHBVI · pith_short_16: 7D6QWRVTHBVI35J4 · pith_short_8: 7D6QWRVT

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/7D6QWRVTHBVI35J46PEZSP5XTV \
  | 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: f8fd0b46b3386a8df53cf3c9993fb79d692f30019f5b23c304f439381f68622f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48d2a9f2f771953e3cb01c9a304ba9393e33b0f884994f793c8872971be18ba6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-02-16T12:03:28Z",
    "title_canon_sha256": "a83eedf8a4fc0f537a4ffa6d4edf46143e172ed160a7df6c38c7f24e8be177e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04506",
    "kind": "arxiv",
    "version": 2
  }
}